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23568403968 = 29321723103127
BaseRepresentation
bin10101111100110010…
…010100111000000000
32020211112002222020200
4111330302110320000
5341232002411333
614454400405200
71463022062004
oct257462247000
966745088220
1023568403968
119aa482780a
124699016800
1322b7a74485
1411d81ac704
1592e18ac13
hex57cc94e00

23568403968 has 480 divisors, whose sum is σ = 76479676416. Its totient is φ = 6948716544.

The previous prime is 23568403949. The next prime is 23568403979. The reversal of 23568403968 is 86930486532.

23568403968 is a `hidden beast` number, since 2 + 3 + 568 + 40 + 39 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185577921 + ... + 185578047.

Almost surely, 223568403968 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 23568403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38239838208).

23568403968 is an abundant number, since it is smaller than the sum of its proper divisors (52911272448).

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

23568403968 is a wasteful number, since it uses less digits than its factorization.

23568403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23568403968 in words is "twenty-three billion, five hundred sixty-eight million, four hundred three thousand, nine hundred sixty-eight".