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10655705655 = 3357173531879
BaseRepresentation
bin10011110110010000…
…10010101000110111
31000111121120221012000
421323020102220313
5133310330040110
64521204430343
7525026001150
oct117310225067
930447527160
1010655705655
114578960411
1220946a83b3
13100a7bb49a
1473128a927
154257311c0
hex27b212a37

10655705655 has 128 divisors (see below), whose sum is σ = 23000371200. Its totient is φ = 4569219072.

The previous prime is 10655705653. The next prime is 10655705663. The reversal of 10655705655 is 55650755601.

10655705655 is a `hidden beast` number, since 10 + 6 + 5 + 5 + 70 + 565 + 5 = 666.

10655705655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10655705655 - 21 = 10655705653 is a prime.

It is a super-2 number, since 2×106557056552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10655705655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655705653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5670006 + ... + 5671884.

It is an arithmetic number, because the mean of its divisors is an integer number (179690400).

Almost surely, 210655705655 is an apocalyptic number.

10655705655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10655705655 is an abundant number, since it is smaller than the sum of its proper divisors (12344665545).

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

10655705655 is a wasteful number, since it uses less digits than its factorization.

10655705655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

It can be divided in two parts, 1065570 and 5655, that added together give a square (1071225 = 10352).

The spelling of 10655705655 in words is "ten billion, six hundred fifty-five million, seven hundred five thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 353 357 459 595 765 945 1059 1071 1765 1785 1879 2295 2471 3177 3213 5295 5355 5637 6001 7413 9395 9531 12355 13153 15885 16065 16911 18003 22239 28185 30005 31943 37065 39459 42007 47655 50733 54009 65765 66717 84555 90015 95829 111195 118377 126021 159715 162027 197295 210035 223601 253665 270045 287487 333585 355131 378063 479145 591885 630105 663287 670803 810135 862461 1118005 1134189 1437435 1775655 1890315 1989861 2012409 3316435 3354015 4312305 4643009 5670945 5969583 6037227 9949305 10062045 11275879 13929027 17908749 23215045 29847915 30186135 33827637 41787081 56379395 69645135 78931153 89543745 101482911 125361243 169138185 208935405 236793459 304448733 394655765 507414555 626806215 710380377 1183967295 1522243665 2131141131 3551901885 10655705655