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20321056426401 = 32292271230127883
BaseRepresentation
bin1001001111011010111010…
…10110011000100110100001
32122221200012100202211020100
410213231131112120212201
510130420010421121101
6111115210415333013
74165101502433433
oct447553526304641
978850170684210
1020321056426401
116525125647125
122342434821169
13b45362622943
14503789ac0653
152538e5ddae86
hex127b5d5989a1

20321056426401 has 48 divisors (see below), whose sum is σ = 30502135834560. Its totient is φ = 13021072444800.

The previous prime is 20321056426393. The next prime is 20321056426421. The reversal of 20321056426401 is 10462465012302.

20321056426401 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 1 + 0 + 5 + 6 + 4 + 2 + 640 + 1 = 666.

It is not a de Polignac number, because 20321056426401 - 23 = 20321056426393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20321056426421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728783406 + ... + 728811288.

It is an arithmetic number, because the mean of its divisors is an integer number (635461163220).

Almost surely, 220321056426401 is an apocalyptic number.

It is an amenable number.

20321056426401 is a deficient number, since it is larger than the sum of its proper divisors (10181079408159).

20321056426401 is a wasteful number, since it uses less digits than its factorization.

20321056426401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40446 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20321056426401 in words is "twenty trillion, three hundred twenty-one billion, fifty-six million, four hundred twenty-six thousand, four hundred one".

Divisors: 1 3 9 29 87 227 261 681 2043 6583 12301 19749 27883 36903 59247 83649 110709 250947 356729 808607 1070187 2425821 2792327 3210561 6329441 7277463 8376981 18988323 25130943 56964969 80977483 183553789 242932449 342988783 550661367 728797347 1028966349 1651984101 3086899047 9946674707 29840024121 77858453741 89520072363 233575361223 700726083669 2257895158489 6773685475467 20321056426401