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23155025040 = 2433572695693
BaseRepresentation
bin10101100100001001…
…011010010010010000
32012202201021010222000
4111210021122102100
5334410141300130
614345352314000
71446542315430
oct254411322220
965681233860
1023155025040
119902454034
1245a26a2900
13225022a364
1411993242c0
15907c33260
hex56425a490

23155025040 has 320 divisors, whose sum is σ = 91504857600. Its totient is φ = 5271975936.

The previous prime is 23155025027. The next prime is 23155025081. The reversal of 23155025040 is 4052055132.

It is a happy number.

23155025040 is a `hidden beast` number, since 2 + 3 + 155 + 0 + 2 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23155024995 and 23155025013.

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 63 ways as a sum of consecutive naturals, for example, 4064434 + ... + 4070126.

It is an arithmetic number, because the mean of its divisors is an integer number (285952680).

Almost surely, 223155025040 is an apocalyptic number.

23155025040 is a gapful number since it is divisible by the number (20) 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 23155025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45752428800).

23155025040 is an abundant number, since it is smaller than the sum of its proper divisors (68349832560).

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

23155025040 is a wasteful number, since it uses less digits than its factorization.

23155025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 23155025040 in words is "twenty-three billion, one hundred fifty-five million, twenty-five thousand, forty".