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86472779852160 = 2735513316072273
BaseRepresentation
bin10011101010010110000011…
…010100110110100110000000
3102100011201100201002111200000
4103222112003110312212000
542313232223120232120
6503525014024400000
724133311045064452
oct2352260324664600
9370151321074600
1086472779852160
1125609999982039
129847007016000
13393346ab6c410
14174d43a81a2d2
159ee54e985990
hex4ea583536980

86472779852160 has 1536 divisors, whose sum is σ = 344956925214720. Its totient is φ = 20555991613440.

The previous prime is 86472779852117. The next prime is 86472779852171. The reversal of 86472779852160 is 6125897727468.

It is a happy number.

86472779852160 is a `hidden beast` number, since 8 + 6 + 4 + 7 + 2 + 7 + 7 + 98 + 521 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38043456784 + ... + 38043459056.

It is an arithmetic number, because the mean of its divisors is an integer number (224581331520).

Almost surely, 286472779852160 is an apocalyptic number.

86472779852160 is a gapful number since it is divisible by the number (80) 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 86472779852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172478462607360).

86472779852160 is an abundant number, since it is smaller than the sum of its proper divisors (258484145362560).

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

86472779852160 is a wasteful number, since it uses less digits than its factorization.

86472779852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 86472779852160 in words is "eighty-six trillion, four hundred seventy-two billion, seven hundred seventy-nine million, eight hundred fifty-two thousand, one hundred sixty".