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23158900512 = 2534112411801
BaseRepresentation
bin10101100100011000…
…001100011100100000
32012202222120001010000
4111210120030130200
5334412134304022
614350011340000
71446620256246
oct254430143440
965688501100
1023158900512
119904660800
1245a3a51600
132250c86337
141199a52796
1590824b6ac
hex56460c720

23158900512 has 360 divisors, whose sum is σ = 76732904556. Its totient is φ = 6842880000.

The previous prime is 23158900459. The next prime is 23158900529. The reversal of 23158900512 is 21500985132.

23158900512 is a `hidden beast` number, since 2 + 3 + 1 + 58 + 90 + 0 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18021451536 + 5137448976 = 134244^2 + 71676^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12858012 + ... + 12859812.

Almost surely, 223158900512 is an apocalyptic number.

23158900512 is a gapful number since it is divisible by the number (22) 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 23158900512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38366452278).

23158900512 is an abundant number, since it is smaller than the sum of its proper divisors (53574004044).

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

23158900512 is a wasteful number, since it uses less digits than its factorization.

23158900512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 23158900512 in words is "twenty-three billion, one hundred fifty-eight million, nine hundred thousand, five hundred twelve".