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23872504608 = 2532349237509
BaseRepresentation
bin10110001110111010…
…011000001100100000
32021121201022212220100
4112032322120030200
5342342330121413
614544502342400
71503403640541
oct261672301440
967551285810
1023872504608
11a140452057
124762a2aa00
132335a79894
14122672c4c8
1594ac09a73
hex58ee98320

23872504608 has 72 divisors (see below), whose sum is σ = 68082241500. Its totient is φ = 7934667264.

The previous prime is 23872504597. The next prime is 23872504687. The reversal of 23872504608 is 80640527832.

23872504608 is a `hidden beast` number, since 2 + 3 + 87 + 2 + 504 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21534975504 + 2337529104 = 146748^2 + 48348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18243 + ... + 219266.

Almost surely, 223872504608 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 23872504608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34041120750).

23872504608 is an abundant number, since it is smaller than the sum of its proper divisors (44209736892).

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

23872504608 is a wasteful number, since it uses less digits than its factorization.

23872504608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237874 (or 237863 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23872504608 in words is "twenty-three billion, eight hundred seventy-two million, five hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 349 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 11168 12564 16752 25128 33504 50256 100512 237509 475018 712527 950036 1425054 1900072 2137581 2850108 3800144 4275162 5700216 7600288 8550324 11400432 17100648 22800864 34201296 68402592 82890641 165781282 248671923 331562564 497343846 663125128 746015769 994687692 1326250256 1492031538 1989375384 2652500512 2984063076 3978750768 5968126152 7957501536 11936252304 23872504608