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316681518336 = 28317227106853
BaseRepresentation
bin1001001101110111011…
…00000111110100000000
31010021102002010221221120
410212323230013310000
520142030432041321
6401251555552240
731610443330521
oct4467354076400
91107362127846
10316681518336
11112338508997
125145bbbb680
1323b2ab52c11
14114827da848
158386e25ec6
hex49bbb07d00

316681518336 has 144 divisors (see below), whose sum is σ = 896352899904. Its totient is φ = 98912468992.

The previous prime is 316681518317. The next prime is 316681518347. The reversal of 316681518336 is 633815186613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2910286 + ... + 3017138.

It is an arithmetic number, because the mean of its divisors is an integer number (6224672916).

Almost surely, 2316681518336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316681518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448176449952).

316681518336 is an abundant number, since it is smaller than the sum of its proper divisors (579671381568).

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

316681518336 is a wasteful number, since it uses less digits than its factorization.

316681518336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107116 (or 107102 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 316681518336 in words is "three hundred sixteen billion, six hundred eighty-one million, five hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 227 256 272 384 408 454 544 681 768 816 908 1088 1362 1632 1816 2176 2724 3264 3632 3859 4352 5448 6528 7264 7718 10896 11577 13056 14528 15436 21792 23154 29056 30872 43584 46308 58112 61744 87168 92616 106853 123488 174336 185232 213706 246976 320559 370464 427412 493952 641118 740928 854824 987904 1282236 1481856 1709648 1816501 2564472 2963712 3419296 3633002 5128944 5449503 6838592 7266004 10257888 10899006 13677184 14532008 20515776 21798012 24255631 27354368 29064016 41031552 43596024 48511262 58128032 72766893 82063104 87192048 97022524 116256064 145533786 174384096 194045048 232512128 291067572 348768192 388090096 412345727 465024256 582135144 697536384 776180192 824691454 1164270288 1237037181 1395072768 1552360384 1649382908 2328540576 2474074362 3104720768 3298765816 4657081152 4948148724 6209441536 6597531632 9314162304 9896297448 13195063264 18628324608 19792594896 26390126528 39585189792 52780253056 79170379584 105560506112 158340759168 316681518336