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23656473984 = 27311132311069
BaseRepresentation
bin10110000010000010…
…010010010110000000
32021001122211101121010
4112002002102112000
5341422024131414
614511224200520
71465141465623
oct260202222600
967048741533
1023656473984
11a03a510050
124702609140
13230009bb00
141205b75dba
15936c85959
hex582092580

23656473984 has 384 divisors, whose sum is σ = 76694860800. Its totient is φ = 6397747200.

The previous prime is 23656473983. The next prime is 23656473991. The reversal of 23656473984 is 48937465632.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×236564739842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23656473983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22129002 + ... + 22130070.

It is an arithmetic number, because the mean of its divisors is an integer number (199726200).

Almost surely, 223656473984 is an apocalyptic number.

23656473984 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 23656473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38347430400).

23656473984 is an abundant number, since it is smaller than the sum of its proper divisors (53038386816).

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

23656473984 is a wasteful number, since it uses less digits than its factorization.

23656473984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1129 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 57.

The spelling of 23656473984 in words is "twenty-three billion, six hundred fifty-six million, four hundred seventy-three thousand, nine hundred eighty-four".