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96855625152 = 26331121322741
BaseRepresentation
bin101101000110100001…
…0111000110111000000
3100021000000221112212000
41122031002320313000
53041330020001102
6112254520104000
76666113141616
oct1321502706700
9307000845760
1096855625152
1138092525800
1216930905000
139197248800
14498b5d56b6
1527bd17801c
hex168d0b8dc0

96855625152 has 504 divisors, whose sum is σ = 339026693040. Its totient is φ = 27082598400.

The previous prime is 96855625129. The next prime is 96855625171. The reversal of 96855625152 is 25152655869.

It is a happy number.

96855625152 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 5 + 625 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35334502 + ... + 35337242.

It is an arithmetic number, because the mean of its divisors is an integer number (672672010).

Almost surely, 296855625152 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 96855625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169513346520).

96855625152 is an abundant number, since it is smaller than the sum of its proper divisors (242171067888).

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

96855625152 is a wasteful number, since it uses less digits than its factorization.

96855625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2770 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The spelling of 96855625152 in words is "ninety-six billion, eight hundred fifty-five million, six hundred twenty-five thousand, one hundred fifty-two".