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10137853616 = 2411316727733
BaseRepresentation
bin10010111000100001…
…10101111010110000
3222011112011022201212
421130100311322300
5131230242303431
64353545215252
7506140222352
oct113420657260
928145138655
1010137853616
114332610520
121b6b191528
13c57425867
146c25a90d2
153e503d72b
hex25c435eb0

10137853616 has 80 divisors (see below), whose sum is σ = 22449896448. Its totient is φ = 4392748800.

The previous prime is 10137853603. The next prime is 10137853631. The reversal of 10137853616 is 61635873101.

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, 351686 + ... + 379418.

Almost surely, 210137853616 is an apocalyptic number.

10137853616 is a gapful number since it is divisible by the number (16) 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 10137853616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224948224).

10137853616 is an abundant number, since it is smaller than the sum of its proper divisors (12312042832).

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

10137853616 is a wasteful number, since it uses less digits than its factorization.

10137853616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27850 (or 27844 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 10137853616 in words is "ten billion, one hundred thirty-seven million, eight hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 44 62 67 88 124 134 176 248 268 341 496 536 682 737 1072 1364 1474 2077 2728 2948 4154 5456 5896 8308 11792 16616 22847 27733 33232 45694 55466 91388 110932 182776 221864 305063 365552 443728 610126 859723 1220252 1719446 1858111 2440504 3438892 3716222 4881008 6877784 7432444 9456953 13755568 14864888 18913906 20439221 29729776 37827812 40878442 57601441 75655624 81756884 115202882 151311248 163513768 230405764 327027536 460811528 633615851 921623056 1267231702 2534463404 5068926808 10137853616