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23169392064 = 263373133197
BaseRepresentation
bin10101100101000000…
…001101110111000000
32012210201022001211000
4111211000031313000
5334422331021224
614351024252000
71450105404000
oct254500156700
965721261730
1023169392064
11990a577205
1245a7471000
1322531ba860
14119b1c4000
159091200c9
hex56500ddc0

23169392064 has 896 divisors, whose sum is σ = 89212928000. Its totient is φ = 5852528640.

The previous prime is 23169392063. The next prime is 23169392069. The reversal of 23169392064 is 46029396132.

It is a super-4 number, since 4×231693920644 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23169392063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238859664 + ... + 238859760.

It is an arithmetic number, because the mean of its divisors is an integer number (99568000).

Almost surely, 223169392064 is an apocalyptic number.

23169392064 is a gapful number since it is divisible by the number (24) 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 23169392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606464000).

23169392064 is an abundant number, since it is smaller than the sum of its proper divisors (66043535936).

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

23169392064 is a wasteful number, since it uses less digits than its factorization.

23169392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 23169392064 in words is "twenty-three billion, one hundred sixty-nine million, three hundred ninety-two thousand, sixty-four".