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85361416992 = 25321319224711
BaseRepresentation
bin100111101111111101…
…1111101101100100000
322011022222120021110200
41033133323331230200
52344310010320432
6103114155225200
76111223033635
oct1173773755440
9264288507420
1085361416992
1133224327015
1214663448200
138084b163c7
1441bac3a18c
152349016a7c
hex13dfefdb20

85361416992 has 72 divisors (see below), whose sum is σ = 242931648960. Its totient is φ = 28432106880.

The previous prime is 85361416961. The next prime is 85361416999. The reversal of 85361416992 is 29961416358.

85361416992 is a `hidden beast` number, since 8 + 5 + 3 + 614 + 16 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (85361416999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267517 + ... + 492227.

It is an arithmetic number, because the mean of its divisors is an integer number (3374050680).

Almost surely, 285361416992 is an apocalyptic number.

It is an amenable number.

85361416992 is an abundant number, since it is smaller than the sum of its proper divisors (157570231968).

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

85361416992 is a wasteful number, since it uses less digits than its factorization.

85361416992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226046 (or 226035 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 85361416992 in words is "eighty-five billion, three hundred sixty-one million, four hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1319 2638 3957 5276 7914 10552 11871 15828 21104 23742 31656 42208 47484 63312 94968 126624 189936 224711 379872 449422 674133 898844 1348266 1797688 2022399 2696532 3595376 4044798 5393064 7190752 8089596 10786128 16179192 21572256 32358384 64716768 296393809 592787618 889181427 1185575236 1778362854 2371150472 2667544281 3556725708 4742300944 5335088562 7113451416 9484601888 10670177124 14226902832 21340354248 28453805664 42680708496 85361416992