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23639869440 = 211345112591
BaseRepresentation
bin10110000001000010…
…111100100000000000
32021000111120210110000
4112001002330200000
5341403301310230
614505432240000
71464550401105
oct260102744000
967014523400
1023639869440
11a0310a9890
1246b8b40000
1322c9807035
141203892aac
159355a5b60
hex5810bc800

23639869440 has 480 divisors, whose sum is σ = 92471258880. Its totient is φ = 5728665600.

The previous prime is 23639869403. The next prime is 23639869441. The reversal of 23639869440 is 4496893632.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23639869441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9122545 + ... + 9125135.

It is an arithmetic number, because the mean of its divisors is an integer number (192648456).

Almost surely, 223639869440 is an apocalyptic number.

23639869440 is a gapful number since it is divisible by the number (20) 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 23639869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46235629440).

23639869440 is an abundant number, since it is smaller than the sum of its proper divisors (68831389440).

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

23639869440 is a wasteful number, since it uses less digits than its factorization.

23639869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 23639869440 in words is "twenty-three billion, six hundred thirty-nine million, eight hundred sixty-nine thousand, four hundred forty".