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12657450663 = 3411137115391
BaseRepresentation
bin10111100100111000…
…10101111010100111
31012200010020010010000
423302130111322213
5201410301410123
65451553032343
7625443361344
oct136234257247
935603203100
1012657450663
11540588a030
122552b556b3
131269426ba0
1488107b7cb
154e133ab43
hex2f2715ea7

12657450663 has 80 divisors (see below), whose sum is σ = 22527977472. Its totient is φ = 6980904000.

The previous prime is 12657450661. The next prime is 12657450679. The reversal of 12657450663 is 36605475621.

12657450663 is a `hidden beast` number, since 1 + 26 + 574 + 50 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 12657450663 - 21 = 12657450661 is a prime.

It is a super-2 number, since 2×126574506632 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12657450661) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 814698 + ... + 830088.

Almost surely, 212657450663 is an apocalyptic number.

12657450663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12657450663 is a deficient number, since it is larger than the sum of its proper divisors (9870526809).

12657450663 is a wasteful number, since it uses less digits than its factorization.

12657450663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15498 (or 15489 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 12657450663 in words is "twelve billion, six hundred fifty-seven million, four hundred fifty thousand, six hundred sixty-three".

Divisors: 1 3 9 11 13 27 33 39 71 81 99 117 143 213 297 351 429 639 781 891 923 1053 1287 1917 2343 2769 3861 5751 7029 8307 10153 11583 15391 21087 24921 30459 46173 63261 74763 91377 138519 169301 200083 274131 415557 507903 600249 822393 1092761 1246671 1523709 1800747 2200913 3278283 4571127 5402241 6602739 9834849 12020371 13713381 14205893 16206723 19808217 29504547 36061113 42617679 59424651 88513641 108183339 127853037 156264823 178273953 324550017 383559111 468794469 973650051 1150677333 1406383407 4219150221 12657450663