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12641406765 = 3513314095113
BaseRepresentation
bin10111100010111110…
…01000111100101101
31012122000001000000120
423301133020330231
5201342200004030
65450221115153
7625160120211
oct136137107455
935560030016
1012641406765
1153a7821009
1225496b8ab9
131265cca360
1487cca2941
154dec1c010
hex2f17c8f2d

12641406765 has 64 divisors (see below), whose sum is σ = 22544148480. Its totient is φ = 6006804480.

The previous prime is 12641406731. The next prime is 12641406787. The reversal of 12641406765 is 56760414621.

It is not a de Polignac number, because 12641406765 - 217 = 12641275693 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469849 + ... + 2474961.

It is an arithmetic number, because the mean of its divisors is an integer number (352252320).

Almost surely, 212641406765 is an apocalyptic number.

12641406765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12641406765 is a deficient number, since it is larger than the sum of its proper divisors (9902741715).

12641406765 is a wasteful number, since it uses less digits than its factorization.

12641406765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12641406765 in words is "twelve billion, six hundred forty-one million, four hundred six thousand, seven hundred sixty-five".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 409 465 1209 1227 2015 2045 5113 5317 6045 6135 12679 15339 15951 25565 26585 38037 63395 66469 76695 79755 158503 164827 190185 199407 332345 475509 494481 792515 824135 997035 2060539 2091217 2377545 2472405 6181617 6273651 10302695 10456085 27185821 30908085 31368255 64827727 81557463 135929105 194483181 324138635 407787315 842760451 972415905 2528281353 4213802255 12641406765