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56650616145 = 3251741244053
BaseRepresentation
bin110100110000101000…
…111100110101010001
312102020002010110212100
4310300220330311101
51412010024204040
642005215151013
74043566202124
oct646050746521
9172202113770
1056650616145
1122030883432
12ab90215469
13545a877056
142a55b003bb
151718697b30
hexd30a3cd51

56650616145 has 72 divisors (see below), whose sum is σ = 106570678968. Its totient is φ = 27742187520.

The previous prime is 56650616039. The next prime is 56650616159. The reversal of 56650616145 is 54161605665.

It can be written as a sum of positive squares in 12 ways, for example, as 27019469376 + 29631146769 = 164376^2 + 172137^2 .

It is not a de Polignac number, because 56650616145 - 210 = 56650615121 is a prime.

It is a super-2 number, since 2×566506161452 (a number of 22 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 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 56650616145.

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 71 ways as a sum of consecutive naturals, for example, 1263939 + ... + 1307991.

It is an arithmetic number, because the mean of its divisors is an integer number (1480148319).

Almost surely, 256650616145 is an apocalyptic number.

It is an amenable number.

56650616145 is a deficient number, since it is larger than the sum of its proper divisors (49920062823).

56650616145 is a wasteful number, since it uses less digits than its factorization.

56650616145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44163 (or 44119 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56650616145 in words is "fifty-six billion, six hundred fifty million, six hundred sixteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 153 205 255 369 615 697 765 1681 1845 2091 3485 5043 6273 8405 10455 15129 25215 28577 31365 44053 75645 85731 132159 142885 220265 257193 396477 428655 660795 748901 1285965 1806173 1982385 2246703 3744505 5418519 6740109 9030865 11233515 16255557 27092595 30704941 33700545 74053093 81277785 92114823 153524705 222159279 276344469 370265465 460574115 666477837 1110796395 1258902581 1381722345 3332389185 3776707743 6294512905 11330123229 18883538715 56650616145