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56130362241165 = 3258271508272531
BaseRepresentation
bin11001100001100110111100…
…10011010111000010001101
321100202000021110020211010100
430300303132103113002031
524324114440213204130
6315213533223401313
714552166462616332
oct1460633623270215
9240660243224110
1056130362241165
1116980831195833
1263665348b3239
1325420bba08484
14dc0a1ca38989
1567512d661c60
hex330cde4d708d

56130362241165 has 24 divisors (see below), whose sum is σ = 97410273206688. Its totient is φ = 29899994634720.

The previous prime is 56130362241143. The next prime is 56130362241167. The reversal of 56130362241165 is 56114226303165.

It is a happy number.

56130362241165 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 0 + 3 + 622 + 4 + 1 + 16 + 5 = 666.

56130362241165 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 56130362241165 - 224 = 56130345463949 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56130362241165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56130362241167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754099051 + ... + 754173480.

It is an arithmetic number, because the mean of its divisors is an integer number (4058761383612).

Almost surely, 256130362241165 is an apocalyptic number.

It is an amenable number.

56130362241165 is a deficient number, since it is larger than the sum of its proper divisors (41279910965523).

56130362241165 is a wasteful number, since it uses less digits than its factorization.

56130362241165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508273369 (or 1508273366 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 56130362241165 in words is "fifty-six trillion, one hundred thirty billion, three hundred sixty-two million, two hundred forty-one thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 827 2481 4135 7443 12405 37215 1508272531 4524817593 7541362655 13574452779 22624087965 67872263895 1247341383137 3742024149411 6236706915685 11226072448233 18710120747055 56130362241165