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93996695520 = 253257137110103
BaseRepresentation
bin101011110001010100…
…0111011111111100000
322222121210100212200100
41113202220323333200
53020001123224040
6111103111222400
76535216505040
oct1274250737740
9288553325610
1093996695520
1136955758642
1216273377a00
138b2cb57880
144799a31720
1526a219cb30
hex15e2a3bfe0

93996695520 has 576 divisors, whose sum is σ = 400386115584. Its totient is φ = 19551006720.

The previous prime is 93996695501. The next prime is 93996695549. The reversal of 93996695520 is 2559669939.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9298789 + ... + 9308891.

It is an arithmetic number, because the mean of its divisors is an integer number (695114784).

Almost surely, 293996695520 is an apocalyptic number.

93996695520 is a gapful number since it is divisible by the number (90) 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 93996695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200193057792).

93996695520 is an abundant number, since it is smaller than the sum of its proper divisors (306389420064).

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

93996695520 is a wasteful number, since it uses less digits than its factorization.

93996695520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 93996695520 in words is "ninety-three billion, nine hundred ninety-six million, six hundred ninety-five thousand, five hundred twenty".