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23765683968 = 2832131941761
BaseRepresentation
bin10110001000100010…
…111000111100000000
32021100021022211112100
4112020202320330000
5342133003341333
614530125030400
71500635660235
oct261042707400
967307284470
1023765683968
11a096122134
1247330b5400
1323198b86c0
14121648378c
15941659213
hex5888b8f00

23765683968 has 216 divisors, whose sum is σ = 77678990480. Its totient is φ = 6927482880.

The previous prime is 23765683957. The next prime is 23765683969. The reversal of 23765683968 is 86938656732.

23765683968 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 568 + 3 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23765683969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548208 + ... + 589968.

Almost surely, 223765683968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23765683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38839495240).

23765683968 is an abundant number, since it is smaller than the sum of its proper divisors (53913306512).

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

23765683968 is a wasteful number, since it uses less digits than its factorization.

23765683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41815 (or 41798 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 23765683968 in words is "twenty-three billion, seven hundred sixty-five million, six hundred eighty-three thousand, nine hundred sixty-eight".