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21890595936 = 2531123123753
BaseRepresentation
bin10100011000110001…
…111111110001100000
32002111121000111022110
4110120301333301200
5324312443032221
614020103235320
71403316665256
oct243061776140
962447014273
1021890595936
119313741800
1242ab148b40
1320ab297c61
1410b94225d6
15881c1c776
hex518c7fc60

21890595936 has 432 divisors, whose sum is σ = 68293408176. Its totient is φ = 6128179200.

The previous prime is 21890595931. The next prime is 21890595941. The reversal of 21890595936 is 63959509812.

It is an interprime number because it is at equal distance from previous prime (21890595931) and next prime (21890595941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21890595931) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 413030086 + ... + 413030138.

It is an arithmetic number, because the mean of its divisors is an integer number (158086593).

Almost surely, 221890595936 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 21890595936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34146704088).

21890595936 is an abundant number, since it is smaller than the sum of its proper divisors (46402812240).

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

21890595936 is a wasteful number, since it uses less digits than its factorization.

21890595936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 57.

The spelling of 21890595936 in words is "twenty-one billion, eight hundred ninety million, five hundred ninety-five thousand, nine hundred thirty-six".