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13087285451046 = 23254163112291733
BaseRepresentation
bin1011111001110001111100…
…0000000001100100100110
31201100010120102110212021200
42332130133000001210212
53203410230033413141
643500114350423330
72520345063605142
oct276343700014446
951303512425250
1013087285451046
1141963174a7aa4
1215744a1501b46
1373c18329b9c1
143335dc5c4222
1517a66c557ab6
hexbe71f001926

13087285451046 has 96 divisors (see below), whose sum is σ = 28492803069120. Its totient is φ = 4341420115200.

The previous prime is 13087285450969. The next prime is 13087285451117. The reversal of 13087285451046 is 64015458278031.

It is a happy number.

13087285451046 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 7 + 2 + 85 + 4 + 510 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13087285450983 and 13087285451001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7551808396 + ... + 7551810128.

It is an arithmetic number, because the mean of its divisors is an integer number (296800031970).

Almost surely, 213087285451046 is an apocalyptic number.

13087285451046 is an abundant number, since it is smaller than the sum of its proper divisors (15405517618074).

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

13087285451046 is a wasteful number, since it uses less digits than its factorization.

13087285451046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 13087285451046 in words is "thirteen trillion, eighty-seven billion, two hundred eighty-five million, four hundred fifty-one thousand, forty-six".

Divisors: 1 2 3 6 9 18 541 631 1082 1229 1262 1623 1733 1893 2458 3246 3466 3687 3786 4869 5199 5679 7374 9738 10398 11061 11358 15597 22122 31194 341371 664889 682742 775499 937553 1024113 1093523 1329778 1550998 1875106 1994667 2048226 2129857 2187046 2326497 2812659 3072339 3280569 3989334 4259714 4652994 5625318 5984001 6144678 6389571 6561138 6979491 8437977 9841707 11968002 12779142 13958982 16875954 19168713 19683414 38337426 419544959 591595943 839089918 1152252637 1183191886 1258634877 1343939767 1774787829 2304505274 2517269754 2687879534 3456757911 3549575658 3775904631 4031819301 5324363487 6913515822 7551809262 8063638602 10370273733 10648726974 12095457903 20740547466 24190915806 727071413947 1454142827894 2181214241841 4362428483682 6543642725523 13087285451046