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23069664608256 = 21737711497
BaseRepresentation
bin1010011111011010100110…
…01010100000000000000000
310000200102211120222120000000
411033231103022200000000
511010433133114431011
6121022020240000000
74600504536463110
oct517552312400000
9100612746876000
1023069664608256
117394876279022
122707080000000
13cb45c991b316
1459a8133c3040
152a016553a356
hex14fb532a0000

23069664608256 has 576 divisors, whose sum is σ = 79090514415360. Its totient is φ = 6590759436288.

The previous prime is 23069664608239. The next prime is 23069664608281. The reversal of 23069664608256 is 65280646696032.

It is a happy number.

23069664608256 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 96 + 6 + 460 + 82 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 23069664608193 and 23069664608202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006575500 + ... + 2006586996.

It is an arithmetic number, because the mean of its divisors is an integer number (137309920860).

Almost surely, 223069664608256 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 23069664608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39545257207680).

23069664608256 is an abundant number, since it is smaller than the sum of its proper divisors (56020849807104).

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

23069664608256 is an frugal number, since it uses more digits than its factorization.

23069664608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11559 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 23069664608256 in words is "twenty-three trillion, sixty-nine billion, six hundred sixty-four million, six hundred eight thousand, two hundred fifty-six".