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23679421920 = 2532571131832
BaseRepresentation
bin10110000011011001…
…110100110111100000
32021010021000021020200
4112003121310313200
5341443413000140
614513404105200
71465540523340
oct260331646740
967107007220
1023679421920
11a051464190
12470a235200
132304a74c7b
141208c2ad20
15938cba030
hex583674de0

23679421920 has 864 divisors, whose sum is σ = 105263069184. Its totient is φ = 4704307200.

The previous prime is 23679421891. The next prime is 23679421937. The reversal of 23679421920 is 2912497632.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285294199 + ... + 285294281.

It is an arithmetic number, because the mean of its divisors is an integer number (121832256).

Almost surely, 223679421920 is an apocalyptic number.

23679421920 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 23679421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52631534592).

23679421920 is an abundant number, since it is smaller than the sum of its proper divisors (81583647264).

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

23679421920 is a wasteful number, since it uses less digits than its factorization.

23679421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 23679421920 in words is "twenty-three billion, six hundred seventy-nine million, four hundred twenty-one thousand, nine hundred twenty".