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23874232320 = 21332564763
BaseRepresentation
bin10110001111000000…
…111110000000000000
32021121211120122212200
4112033000332000000
5342343300413240
614545003353200
71503424424601
oct261700760000
967554518780
1023874232320
11a141422114
124763522800
1323362330b3
141226a5bda8
1594ae4b930
hex58f03e000

23874232320 has 168 divisors, whose sum is σ = 82760231736. Its totient is φ = 6366363648.

The previous prime is 23874232307. The next prime is 23874232331. The reversal of 23874232320 is 2323247832.

23874232320 is a `hidden beast` number, since 2 + 38 + 74 + 232 + 320 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 336259 + ... + 401021.

It is an arithmetic number, because the mean of its divisors is an integer number (492620427).

Almost surely, 223874232320 is an apocalyptic number.

23874232320 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 23874232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41380115868).

23874232320 is an abundant number, since it is smaller than the sum of its proper divisors (58885999416).

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

23874232320 is an equidigital number, since it uses as much as digits as its factorization.

23874232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64800 (or 64773 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23874232320 in words is "twenty-three billion, eight hundred seventy-four million, two hundred thirty-two thousand, three hundred twenty".