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13657194496 = 214112832
BaseRepresentation
bin11001011100000100…
…00100000000000000
31022020210102100211101
430232002010000000
5210432220210441
610135105024144
7662303144401
oct145602040000
938223370741
1013657194496
115879148400
122791925054
1313985a459a
14937b5d9a8
1554debb231
hex32e084000

13657194496 has 135 divisors (see below), whose sum is σ = 30388410703. Its totient is φ = 6133022720.

The previous prime is 13657194469. The next prime is 13657194521. The reversal of 13657194496 is 69449175631.

The square root of 13657194496 is 116864.

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

It is a Duffinian number.

Its product of digits (4898880) is a multiple of the sum of its prime divisors (96).

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, 164544471 + ... + 164544553.

Almost surely, 213657194496 is an apocalyptic number.

13657194496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13657194496 is the 116864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13657194496

13657194496 is an abundant number, since it is smaller than the sum of its proper divisors (16731216207).

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

13657194496 is an frugal number, since it uses more digits than its factorization.

13657194496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 96 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 55.

The spelling of 13657194496 in words is "thirteen billion, six hundred fifty-seven million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 256 332 352 484 512 664 704 913 968 1024 1328 1408 1826 1936 2048 2656 2816 3652 3872 4096 5312 5632 6889 7304 7744 8192 10043 10624 11264 13778 14608 15488 16384 20086 21248 22528 27556 29216 30976 40172 42496 45056 55112 58432 61952 75779 80344 84992 90112 110224 116864 123904 151558 160688 169984 180224 220448 233728 247808 303116 321376 339968 440896 467456 495616 606232 642752 679936 833569 881792 934912 991232 1212464 1285504 1359872 1667138 1763584 1869824 1982464 2424928 2571008 3334276 3527168 3739648 4849856 5142016 6668552 7054336 7479296 9699712 10284032 13337104 14108672 14958592 19399424 20568064 26674208 28217344 38798848 41136128 53348416 56434688 77597696 82272256 106696832 112869376 155195392 164544512 213393664 310390784 426787328 620781568 853574656 1241563136 1707149312 3414298624 6828597248 13657194496