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21923190864 = 24333743167191
BaseRepresentation
bin10100011010101110…
…010101100001010000
32002120212100111011000
4110122232111201100
5324344314101424
614023230022000
71404164022231
oct243256254120
962525314130
1021923190864
119330084863
1242ba047900
1320b4c6b0b3
1410bd8a9088
15884a0a3c9
hex51ab95850

21923190864 has 320 divisors, whose sum is σ = 66875719680. Its totient is φ = 6867141120.

The previous prime is 21923190829. The next prime is 21923190889. The reversal of 21923190864 is 46809132912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114781009 + ... + 114781199.

It is an arithmetic number, because the mean of its divisors is an integer number (208986624).

Almost surely, 221923190864 is an apocalyptic number.

21923190864 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 21923190864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33437859840).

21923190864 is an abundant number, since it is smaller than the sum of its proper divisors (44952528816).

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

21923190864 is a wasteful number, since it uses less digits than its factorization.

21923190864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 21923190864 in words is "twenty-one billion, nine hundred twenty-three million, one hundred ninety thousand, eight hundred sixty-four".