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468078845496 = 233233728181559
BaseRepresentation
bin1101100111110111010…
…11000101111000111000
31122202012012221001022220
412303323223011320320
530132111141023441
6555011002044040
745550300353063
oct6637353057070
91582165831286
10468078845496
1117056933a679
12768727a9620
13351a7a56382
14189259a58da
15c29851d466
hex6cfbac5e38

468078845496 has 128 divisors (see below), whose sum is σ = 1258555622400. Its totient is φ = 144690416640.

The previous prime is 468078845491. The next prime is 468078845513. The reversal of 468078845496 is 694548870864.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 468078845496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468078845491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698365 + ... + 5779923.

It is an arithmetic number, because the mean of its divisors is an integer number (9832465800).

Almost surely, 2468078845496 is an apocalyptic number.

468078845496 is a gapful number since it is divisible by the number (46) 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 468078845496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629277811200).

468078845496 is an abundant number, since it is smaller than the sum of its proper divisors (790476776904).

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

468078845496 is a wasteful number, since it uses less digits than its factorization.

468078845496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81909 (or 81905 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 468078845496 in words is "four hundred sixty-eight billion, seventy-eight million, eight hundred forty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 281 296 444 552 562 843 851 888 1124 1686 1702 2248 2553 3372 3404 5106 6463 6744 6808 10212 10397 12926 19389 20424 20794 25852 31191 38778 41588 51704 62382 77556 81559 83176 124764 155112 163118 239131 244677 249528 326236 478262 489354 652472 717393 956524 978708 1434786 1875857 1913048 1957416 2869572 3017683 3751714 5627571 5739144 6035366 7503428 9053049 11255142 12070732 15006856 18106098 22510284 22918079 24141464 36212196 45020568 45836158 68754237 69406709 72424392 91672316 137508474 138813418 183344632 208220127 275016948 277626836 416440254 527115817 550033896 555253672 832880508 847968923 1054231634 1581347451 1665761016 1695937846 2108463268 2543906769 3162694902 3391875692 4216926536 5087813538 6325389804 6783751384 10175627076 12650779608 19503285229 20351254152 39006570458 58509855687 78013140916 117019711374 156026281832 234039422748 468078845496