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23828995008 = 26327131971337
BaseRepresentation
bin10110001100010100…
…011001101111000000
32021111200110100221200
4112030110121233000
5342300210320013
614540310021200
71502335054440
oct261424315700
967450410850
1023828995008
11a118934705
124750347800
132329a54760
141220a44120
15946eb2e73
hex58c519bc0

23828995008 has 672 divisors, whose sum is σ = 90000368640. Its totient is φ = 5852528640.

The previous prime is 23828994991. The next prime is 23828995033. The reversal of 23828995008 is 80059982832.

23828995008 is a `hidden beast` number, since 23 + 8 + 28 + 99 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70709016 + ... + 70709352.

It is an arithmetic number, because the mean of its divisors is an integer number (133929120).

Almost surely, 223828995008 is an apocalyptic number.

23828995008 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 23828995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45000184320).

23828995008 is an abundant number, since it is smaller than the sum of its proper divisors (66171373632).

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

23828995008 is a wasteful number, since it uses less digits than its factorization.

23828995008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 23828995008 in words is "twenty-three billion, eight hundred twenty-eight million, nine hundred ninety-five thousand, eight".