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23030396928 = 21135711601
BaseRepresentation
bin10101011100101101…
…111111100000000000
32012110000202101100000
4111130231333200000
5334131240200203
614325141200000
71443500100240
oct253455774000
965400671300
1023030396928
1198490710a0
124568a00000
132230472a06
141186961b20
158ebd164a3
hex55cb7f800

23030396928 has 576 divisors, whose sum is σ = 86143599360. Its totient is φ = 5971968000.

The previous prime is 23030396891. The next prime is 23030396941. The reversal of 23030396928 is 82969303032.

23030396928 is a `hidden beast` number, since 230 + 3 + 0 + 396 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×230303969283 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 38319828 + ... + 38320428.

It is an arithmetic number, because the mean of its divisors is an integer number (149554860).

Almost surely, 223030396928 is an apocalyptic number.

23030396928 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 23030396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43071799680).

23030396928 is an abundant number, since it is smaller than the sum of its proper divisors (63113202432).

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

23030396928 is an equidigital number, since it uses as much as digits as its factorization.

23030396928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 624 counting only the distinct ones).

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

The spelling of 23030396928 in words is "twenty-three billion, thirty million, three hundred ninety-six thousand, nine hundred twenty-eight".