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10557675756 = 223437880687
BaseRepresentation
bin10011101010100100…
…10101100011101100
31000020210010111110000
421311102111203230
5133110231111011
64503343344300
7522425522535
oct116522254354
930223114400
1010557675756
114528595071
1220678b2090
13cc33b7624
1472224d68c
1541bd1a356
hex2754958ec

10557675756 has 60 divisors (see below), whose sum is σ = 28345823968. Its totient is φ = 3424107168.

The previous prime is 10557675731. The next prime is 10557675787. The reversal of 10557675756 is 65757675501.

It is a happy number.

10557675756 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 7 + 67 + 575 + 6 = 666.

10557675756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105576757562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 428356 + ... + 452331.

Almost surely, 210557675756 is an apocalyptic number.

It is an amenable number.

10557675756 is an abundant number, since it is smaller than the sum of its proper divisors (17788148212).

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

10557675756 is a wasteful number, since it uses less digits than its factorization.

10557675756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880740 (or 880729 counting only the distinct ones).

The product of its (nonzero) digits is 7717500, while the sum is 54.

The spelling of 10557675756 in words is "ten billion, five hundred fifty-seven million, six hundred seventy-five thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 880687 1761374 2642061 3522748 5284122 7926183 10568244 15852366 23778549 31704732 32585419 47557098 65170838 71335647 95114196 97756257 130341676 142671294 195512514 285342588 293268771 391025028 586537542 879806313 1173075084 1759612626 2639418939 3519225252 5278837878 10557675756