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94357856400912 = 24331326653194263
BaseRepresentation
bin10101011101000101100110…
…100000110011011000010000
3110101002112010020201200202000
4111131011212200303120100
544331424342214312122
6532403222324154000
725606062433636206
oct2535054640633020
9411075106650660
1094357856400912
1128079a40041395
12a6bb227238900
134085ba522a300
141942d3205d076
15ad96e746d0ac
hex55d166833610

94357856400912 has 240 divisors, whose sum is σ = 293324202299520. Its totient is φ = 29028673230336.

The previous prime is 94357856400869. The next prime is 94357856400967. The reversal of 94357856400912 is 21900465875349.

94357856400912 is a `hidden beast` number, since 9 + 4 + 3 + 57 + 8 + 564 + 0 + 0 + 9 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 94357856400912.

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, 485625093 + ... + 485819355.

It is an arithmetic number, because the mean of its divisors is an integer number (1222184176248).

It is a 1-persistent number, because it is pandigital, but 2⋅94357856400912 = 188715712801824 is not.

Almost surely, 294357856400912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94357856400912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146662101149760).

94357856400912 is an abundant number, since it is smaller than the sum of its proper divisors (198966345898608).

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

94357856400912 is a wasteful number, since it uses less digits than its factorization.

94357856400912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200959 (or 200934 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 94357856400912 in words is "ninety-four trillion, three hundred fifty-seven billion, eight hundred fifty-six million, four hundred thousand, nine hundred twelve".