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23689304064 = 211384143
BaseRepresentation
bin10110000011111111…
…100001100000000000
32021010221121100000000
4112003333201200000
5342003430212224
614514400000000
71466020522266
oct260377414000
967127540000
1023689304064
11a056aa3848
124711600000
132306b24caa
14120a280436
15939abd0c9
hex583fe1800

23689304064 has 432 divisors, whose sum is σ = 74472357960. Its totient is φ = 7524679680.

The previous prime is 23689304039. The next prime is 23689304087. The reversal of 23689304064 is 46040398632.

23689304064 is a `hidden beast` number, since 236 + 8 + 9 + 3 + 0 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×236893040642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 550914027 + ... + 550914069.

Almost surely, 223689304064 is an apocalyptic number.

23689304064 is a gapful number since it is divisible by the number (24) 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 23689304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37236178980).

23689304064 is an abundant number, since it is smaller than the sum of its proper divisors (50783053896).

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

23689304064 is an frugal number, since it uses more digits than its factorization.

23689304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 23689304064 in words is "twenty-three billion, six hundred eighty-nine million, three hundred four thousand, sixty-four".