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23493930768 = 24347111912391
BaseRepresentation
bin10101111000010110…
…001110111100010000
32020122022222100020000
4111320112032330100
5341103421241033
614443140250000
71461126054660
oct257026167420
966568870200
1023493930768
119a66790a10
1246780a0900
1322a54ca8a9
1411cc3441a0
15927879a13
hex57858ef10

23493930768 has 400 divisors, whose sum is σ = 89246192640. Its totient is φ = 5780678400.

The previous prime is 23493930763. The next prime is 23493930809. The reversal of 23493930768 is 86703939432.

23493930768 is a `hidden beast` number, since 2 + 3 + 493 + 93 + 0 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23493930763) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1889853 + ... + 1902243.

Almost surely, 223493930768 is an apocalyptic number.

23493930768 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 23493930768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44623096320).

23493930768 is an abundant number, since it is smaller than the sum of its proper divisors (65752261872).

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

23493930768 is a wasteful number, since it uses less digits than its factorization.

23493930768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 23493930768 in words is "twenty-three billion, four hundred ninety-three million, nine hundred thirty thousand, seven hundred sixty-eight".