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316681530000336 = 24336132485148121
BaseRepresentation
bin100100000000001010010101…
…0000110100100001111010000
31112112021110101022122120222000
41020000110222012210033100
5313002002233140002321
63041305253025314000
7123463325350102554
oct11000245206441720
91475243338576860
10316681530000336
11919a49788a6456
122b627003795900
1310791c2b649877
14582b679a45864
152692930049826
hex120052a1a43d0

316681530000336 has 160 divisors (see below), whose sum is σ = 910531699443840. Its totient is φ = 105381876096000.

The previous prime is 316681530000263. The next prime is 316681530000343. The reversal of 316681530000336 is 633000035186613.

316681530000336 is a `hidden beast` number, since 3 + 1 + 6 + 6 + 8 + 1 + 5 + 300 + 0 + 0 + 336 = 666.

It is a super-2 number, since 2×3166815300003362 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 316681530000291 and 316681530000300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6580918356 + ... + 6580966476.

It is an arithmetic number, because the mean of its divisors is an integer number (5690823121524).

Almost surely, 2316681530000336 is an apocalyptic number.

316681530000336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316681530000336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455265849721920).

316681530000336 is an abundant number, since it is smaller than the sum of its proper divisors (593850169443504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316681530000336 is a wasteful number, since it uses less digits than its factorization.

316681530000336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73602 (or 73590 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

Adding to 316681530000336 its reverse (633000035186613), we get a palindrome (949681565186949).

The spelling of 316681530000336 in words is "three hundred sixteen trillion, six hundred eighty-one billion, five hundred thirty million, three hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 613 1226 1839 2452 3678 4904 5517 7356 9808 11034 14712 16551 22068 24851 29424 33102 44136 48121 49702 66204 74553 88272 96242 99404 132408 144363 149106 192484 198808 223659 264816 288726 298212 384968 397616 433089 447318 577452 596424 670977 769936 866178 894636 1154904 1192848 1299267 1341954 1732356 1789272 2309808 2598534 2683908 3464712 3578544 5197068 5367816 6929424 10394136 10735632 15233663 20788272 29498173 30467326 45700989 58996346 60934652 88494519 91401978 117992692 121869304 137102967 176989038 182803956 235985384 243738608 265483557 274205934 353978076 365607912 411308901 471970768 530967114 548411868 707956152 731215824 796450671 822617802 1061934228 1096823736 1195854971 1415912304 1592901342 1645235604 2123868456 2193647472 2391709942 3185802684 3290471208 3587564913 4247736912 4783419884 6371605368 6580942416 7175129826 9566839768 10762694739 12743210736 14350259652 19133679536 21525389478 28700519304 32288084217 43050778956 57401038608 64576168434 86101557912 129152336868 172203115824 258304673736 516609347472 733059097223 1466118194446 2199177291669 2932236388892 4398354583338 5864472777784 6597531875007 8796709166676 11728945555568 13195063750014 17593418333352 19792595625021 26390127500028 35186836666704 39585191250042 52780255000056 79170382500084 105560510000112 158340765000168 316681530000336