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56106562017 = 31117230719163
BaseRepresentation
bin110100010000001101…
…100011000111100001
312100211011101122220110
4310100031203013201
51404401234441032
641435222201533
74024241623362
oct642015430741
9170734348813
1056106562017
1121881767520
12aa59b832a9
1353a1c3902c
142a0375bb69
1516d5a2b7cc
hexd103631e1

56106562017 has 48 divisors (see below), whose sum is σ = 86979416832. Its totient is φ = 31897831680.

The previous prime is 56106561947. The next prime is 56106562019. The reversal of 56106562017 is 71026560165.

It is not a de Polignac number, because 56106562017 - 214 = 56106545633 is a prime.

It is a super-3 number, since 3×561065620173 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56106562019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2918278 + ... + 2937440.

It is an arithmetic number, because the mean of its divisors is an integer number (1812071184).

Almost surely, 256106562017 is an apocalyptic number.

It is an amenable number.

56106562017 is a deficient number, since it is larger than the sum of its proper divisors (30872854815).

56106562017 is a wasteful number, since it uses less digits than its factorization.

56106562017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19518 (or 19501 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 56106562017 in words is "fifty-six billion, one hundred six million, five hundred sixty-two thousand, seventeen".

Divisors: 1 3 11 17 33 51 187 289 307 561 867 921 3179 3377 5219 9537 10131 15657 19163 57409 57489 88723 172227 210793 266169 325771 632379 975953 977313 2927859 3583481 5538107 5883041 10750443 16614321 17649123 60919177 64713451 100011697 182757531 194140353 300035091 1100128667 1700198849 3300386001 5100596547 18702187339 56106562017