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20314440634656 = 253730229822373
BaseRepresentation
bin1001001111001110100110…
…00001001001000100100000
32122221001010021222210002110
410213213103001021010200
510130312433300302111
6111112154124115320
74164445530225030
oct447472301110440
978831107883073
1020314440634656
116522340161943
1223410a9095b40
13b44849abc47c
1450331d1b78c0
1525365a1b65a6
hex1279d3049120

20314440634656 has 48 divisors (see below), whose sum is σ = 60943321905984. Its totient is φ = 5804125895424.

The previous prime is 20314440634549. The next prime is 20314440634711. The reversal of 20314440634656 is 65643604441302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 15114910515 + ... + 15114911858.

It is an arithmetic number, because the mean of its divisors is an integer number (1269652539708).

Almost surely, 220314440634656 is an apocalyptic number.

It is an amenable number.

20314440634656 is an abundant number, since it is smaller than the sum of its proper divisors (40628881271328).

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

20314440634656 is a wasteful number, since it uses less digits than its factorization.

20314440634656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30229822393 (or 30229822385 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 20314440634656 in words is "twenty trillion, three hundred fourteen billion, four hundred forty million, six hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 30229822373 60459644746 90689467119 120919289492 181378934238 211608756611 241838578984 362757868476 423217513222 483677157968 634826269833 725515736952 846435026444 967354315936 1269652539666 1451031473904 1692870052888 2539305079332 2902062947808 3385740105776 5078610158664 6771480211552 10157220317328 20314440634656