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23136198008 = 2371131719312
BaseRepresentation
bin10101100011000001…
…100101110101111000
32012201101211122010112
4111203001211311320
5334340331314013
614343441003452
71446223303220
oct254301456570
965641748115
1023136198008
1198a2865000
124598323588
132249367ac1
141196a23080
15906264ba8
hex563065d78

23136198008 has 384 divisors, whose sum is σ = 62802086400. Its totient is φ = 7778073600.

The previous prime is 23136197963. The next prime is 23136198017. The reversal of 23136198008 is 80089163132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746328953 + ... + 746328983.

It is an arithmetic number, because the mean of its divisors is an integer number (163547100).

Almost surely, 223136198008 is an apocalyptic number.

23136198008 is a gapful number since it is divisible by the number (28) 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 23136198008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31401043200).

23136198008 is an abundant number, since it is smaller than the sum of its proper divisors (39665888392).

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

23136198008 is a wasteful number, since it uses less digits than its factorization.

23136198008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 23136198008 in words is "twenty-three billion, one hundred thirty-six million, one hundred ninety-eight thousand, eight".