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13975022656 = 267221112
BaseRepresentation
bin11010000001111100…
…11110110001000000
31100001221110201002201
431000332132301000
5212110101211111
610230421122544
71003212506200
oct150076366100
940057421081
1013975022656
115a21599401
122860259454
1314193a509a
14968054400
1556bd4c6c1
hex340f9ec40

13975022656 has 63 divisors (see below), whose sum is σ = 32274596487. Its totient is φ = 5986458240.

The previous prime is 13975022573. The next prime is 13975022683. The reversal of 13975022656 is 65622057931.

The square root of 13975022656 is 118216.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6619041 + ... + 6621151.

Almost surely, 213975022656 is an apocalyptic number.

13975022656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13975022656 is the 118216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13975022656

13975022656 is an abundant number, since it is smaller than the sum of its proper divisors (18299573831).

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

13975022656 is an frugal number, since it uses more digits than its factorization.

13975022656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 13975022656 in words is "thirteen billion, nine hundred seventy-five million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2111 3136 4222 8444 14777 16888 29554 33776 59108 67552 103439 118216 135104 206878 236432 413756 472864 827512 945728 1655024 3310048 4456321 6620096 8912642 17825284 31194247 35650568 62388494 71301136 124776988 142602272 218359729 249553976 285204544 436719458 499107952 873438916 998215904 1746877832 1996431808 3493755664 6987511328 13975022656