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99642062520 = 23355731121319
BaseRepresentation
bin101110011001100100…
…0010011011010111000
3100112012020010020100000
41130303020103122320
53113031332000040
6113435215113000
710125136362000
oct1346310233270
9315166106300
1099642062520
113929238a400
1217389b12760
13951c607710
144b736c9000
1528d2ad4130
hex17332136b8

99642062520 has 2304 divisors, whose sum is σ = 487992960000. Its totient is φ = 18106260480.

The previous prime is 99642062473. The next prime is 99642062561. The reversal of 99642062520 is 2526024699.

99642062520 is a `hidden beast` number, since 9 + 9 + 64 + 2 + 0 + 62 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5244319071 + ... + 5244319089.

It is an arithmetic number, because the mean of its divisors is an integer number (211802500).

Almost surely, 299642062520 is an apocalyptic number.

99642062520 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 99642062520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480000).

99642062520 is an abundant number, since it is smaller than the sum of its proper divisors (388350897480).

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

99642062520 is a wasteful number, since it uses less digits than its factorization.

99642062520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 99642062520 in words is "ninety-nine billion, six hundred forty-two million, sixty-two thousand, five hundred twenty".