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13641320656353 = 3138112039321149
BaseRepresentation
bin1100011010000001111000…
…0100100110110111100001
31210022002122002110102012110
43012200132010212313201
53241444411042000403
645002423003545533
72605360433262315
oct306403604466741
953262562412173
1013641320656353
11438a284977a65
12164394282b2a9
1377c4a9186230
1435235a013b45
15189c96e0c103
hexc681e126de1

13641320656353 has 32 divisors (see below), whose sum is σ = 19613578723200. Its totient is φ = 8383500311040.

The previous prime is 13641320656333. The next prime is 13641320656361. The reversal of 13641320656353 is 35365602314631.

It is not a de Polignac number, because 13641320656353 - 29 = 13641320655841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13641320656333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644999623 + ... + 645020771.

It is an arithmetic number, because the mean of its divisors is an integer number (612924335100).

Almost surely, 213641320656353 is an apocalyptic number.

13641320656353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13641320656353 is a deficient number, since it is larger than the sum of its proper divisors (5972258066847).

13641320656353 is a wasteful number, since it uses less digits than its factorization.

13641320656353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42369.

The product of its (nonzero) digits is 3499200, while the sum is 48.

The spelling of 13641320656353 in words is "thirteen trillion, six hundred forty-one billion, three hundred twenty million, six hundred fifty-six thousand, three hundred fifty-three".

Divisors: 1 3 13 39 811 2433 10543 20393 21149 31629 61179 63447 265109 274937 795327 824811 16538723 17151839 49616169 51455517 215003399 222973907 431291557 645010197 668921721 1293874671 5606790241 16820370723 349777452727 1049332358181 4547106885451 13641320656353