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1313013688524 = 2233337229315733
BaseRepresentation
bin10011000110110101101…
…101101110100011001100
311122112010011220022211000
4103012311231232203030
5133003023001013044
62443105024100300
7163601463130266
oct23066555564314
94575104808730
101313013688524
11466933aa6a7a
12192579764690
1396a8027c855
144779ba78b36
152424b67cd69
hex131b5b6e8cc

1313013688524 has 96 divisors (see below), whose sum is σ = 3415916853440. Its totient is φ = 436154471424.

The previous prime is 1313013688507. The next prime is 1313013688531. The reversal of 1313013688524 is 4258863103131.

It is a happy number.

1313013688524 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 13 + 6 + 88 + 524 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1313013688524.

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, 83448162 + ... + 83463894.

Almost surely, 21313013688524 is an apocalyptic number.

It is an amenable number.

1313013688524 is an abundant number, since it is smaller than the sum of its proper divisors (2102903164916).

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

1313013688524 is a wasteful number, since it uses less digits than its factorization.

1313013688524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18376 (or 18368 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1313013688524 in words is "one trillion, three hundred thirteen billion, thirteen million, six hundred eighty-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 337 674 1011 1348 2022 2293 3033 4044 4586 6066 6879 9099 9172 12132 13758 15733 18198 20637 27516 31466 36396 41274 47199 61911 62932 82548 94398 123822 141597 188796 247644 283194 424791 566388 772741 849582 1545482 1699164 2318223 3090964 4636446 5302021 6954669 9272892 10604042 13909338 15906063 20864007 21208084 27818676 31812126 36075769 41728014 47718189 63624252 72151538 83456028 95436378 108227307 143154567 144303076 190872756 216454614 286309134 324681921 432909228 572618268 649363842 974045763 1298727684 1948091526 3896183052 12157534153 24315068306 36472602459 48630136612 72945204918 109417807377 145890409836 218835614754 328253422131 437671229508 656506844262 1313013688524