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21493561652640 = 25325721141675419
BaseRepresentation
bin1001110001100010111000…
…00110110111010110100000
32211002202122021012201011200
410320301130012313112200
510304122303240341030
6113414001135441200
74345600331424300
oct470613406672640
984082567181150
1021493561652640
1169374062427a0
1224b171a386200
13bcbaac88473c
145444187b1600
1527416bdabd60
hex138c5c1b75a0

21493561652640 has 864 divisors, whose sum is σ = 95348630744640. Its totient is φ = 4357256601600.

The previous prime is 21493561652593. The next prime is 21493561652723. The reversal of 21493561652640 is 4625616539412.

21493561652640 is a `hidden beast` number, since 2 + 1 + 49 + 35 + 6 + 1 + 6 + 526 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31484851 + ... + 32160269.

It is an arithmetic number, because the mean of its divisors is an integer number (110357211510).

Almost surely, 221493561652640 is an apocalyptic number.

21493561652640 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 21493561652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47674315372320).

21493561652640 is an abundant number, since it is smaller than the sum of its proper divisors (73855069092000).

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

21493561652640 is a wasteful number, since it uses less digits than its factorization.

21493561652640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675506 (or 675488 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 21493561652640 in words is "twenty-one trillion, four hundred ninety-three billion, five hundred sixty-one million, six hundred fifty-two thousand, six hundred forty".