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23136122880 = 2113351341157
BaseRepresentation
bin10101100011000001…
…010011100000000000
32012201101200211002000
4111203001103200000
5334340321413010
614343435224000
71446222541203
oct254301234000
965641624060
1023136122880
1198a2813612
1245982a8000
13224933c850
141196a0393a
1590624c7c0
hex563053800

23136122880 has 768 divisors, whose sum is σ = 91306051200. Its totient is φ = 5520752640.

The previous prime is 23136122879. The next prime is 23136122897. The reversal of 23136122880 is 8822163132.

23136122880 is a `hidden beast` number, since 2 + 3 + 13 + 612 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147363762 + ... + 147363918.

Almost surely, 223136122880 is an apocalyptic number.

23136122880 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 23136122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45653025600).

23136122880 is an abundant number, since it is smaller than the sum of its proper divisors (68169928320).

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

23136122880 is a wasteful number, since it uses less digits than its factorization.

23136122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23136122880 in words is "twenty-three billion, one hundred thirty-six million, one hundred twenty-two thousand, eight hundred eighty".