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23686483968 = 21234723147
BaseRepresentation
bin10110000011110100…
…110001000000000000
32021010202022001120000
4112003310301000000
5342002214441333
614514215320000
71465654535400
oct260364610000
967122261500
1023686483968
11a055447a94
124710680000
1323063784b4
141209b48800
15939712713
hex583d31000

23686483968 has 780 divisors, whose sum is σ = 86773750272. Its totient is φ = 6409912320.

The previous prime is 23686483939. The next prime is 23686483993. The reversal of 23686483968 is 86938468632.

23686483968 is a `hidden beast` number, since 2 + 3 + 68 + 6 + 483 + 96 + 8 = 666.

It is a super-2 number, since 2×236864839682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (71663616) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 503967721 + ... + 503967767.

Almost surely, 223686483968 is an apocalyptic number.

23686483968 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 23686483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43386875136).

23686483968 is an abundant number, since it is smaller than the sum of its proper divisors (63087266304).

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

23686483968 is an equidigital number, since it uses as much as digits as its factorization.

23686483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 23686483968 in words is "twenty-three billion, six hundred eighty-six million, four hundred eighty-three thousand, nine hundred sixty-eight".