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56953035965 = 5723195136263
BaseRepresentation
bin110101000010101010…
…100101110010111101
312110000011011222212102
4311002222211302331
51413114434122330
642055221114445
74054230550430
oct650252456275
9173004158772
1056953035965
112217655a971
12b055558a25
1354a84113a7
142a83d43817
151734ed3945
hexd42aa5cbd

56953035965 has 32 divisors (see below), whose sum is σ = 81547001856. Its totient is φ = 37335355200.

The previous prime is 56953035941. The next prime is 56953035973.

56953035965 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56953035965 - 212 = 56953031869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 56953035965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552424 + ... + 1588686.

It is an arithmetic number, because the mean of its divisors is an integer number (2548343808).

Almost surely, 256953035965 is an apocalyptic number.

It is an amenable number.

56953035965 is a deficient number, since it is larger than the sum of its proper divisors (24593965891).

56953035965 is a wasteful number, since it uses less digits than its factorization.

56953035965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38249.

The product of its (nonzero) digits is 16402500, while the sum is 56.

The spelling of 56953035965 in words is "fifty-six billion, nine hundred fifty-three million, thirty-five thousand, nine hundred sixty-five".

Divisors: 1 5 7 23 35 115 161 805 1951 9755 13657 36263 44873 68285 181315 224365 253841 314111 834049 1269205 1570555 4170245 5838343 29191715 70749113 353745565 495243791 1627229599 2476218955 8136147995 11390607193 56953035965