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23868250560 = 2634571111959
BaseRepresentation
bin10110001110101010…
…001001100111000000
32021121102022202110000
4112032222021213000
5342340233004220
614544231240000
71503322532220
oct261652114700
967542282400
1023868250560
11a139006a10
124761519000
132334c1a4ab
141225d42080
1594a669390
hex58ea899c0

23868250560 has 560 divisors, whose sum is σ = 105862648320. Its totient is φ = 4959221760.

The previous prime is 23868250543. The next prime is 23868250589. The reversal of 23868250560 is 6505286832.

23868250560 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 82 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1989861 + ... + 2001819.

Almost surely, 223868250560 is an apocalyptic number.

23868250560 is a gapful number since it is divisible by the number (20) 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 23868250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52931324160).

23868250560 is an abundant number, since it is smaller than the sum of its proper divisors (81994397760).

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

23868250560 is a wasteful number, since it uses less digits than its factorization.

23868250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12006 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 23868250560 in words is "twenty-three billion, eight hundred sixty-eight million, two hundred fifty thousand, five hundred sixty".