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56734188143765 = 511293775517593
BaseRepresentation
bin11001110011001011101010…
…01000011000010010010101
321102212201212010012212022212
430321211311020120102111
524414013104131100030
6320355154244203205
714643624033245336
oct1471456510302225
9242781763185285
1056734188143765
111709391a171600
126443570999505
13258701b19c072
141001d4107428d
15685bbe315595
hex339975218495

56734188143765 has 12 divisors (see below), whose sum is σ = 74832863040012. Its totient is φ = 41261227740480.

The previous prime is 56734188143749. The next prime is 56734188143807.

56734188143765 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21505191242161 + 35228996901604 = 4637369^2 + 5935402^2 .

It is not a de Polignac number, because 56734188143765 - 24 = 56734188143749 is a prime.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56734188143695 and 56734188143704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46887758192 + ... + 46887759401.

It is an arithmetic number, because the mean of its divisors is an integer number (6236071920001).

Almost surely, 256734188143765 is an apocalyptic number.

56734188143765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56734188143765 is a deficient number, since it is larger than the sum of its proper divisors (18098674896247).

56734188143765 is a wasteful number, since it uses less digits than its factorization.

56734188143765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93775517620 (or 93775517609 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 68.

The spelling of 56734188143765 in words is "fifty-six trillion, seven hundred thirty-four billion, one hundred eighty-eight million, one hundred forty-three thousand, seven hundred sixty-five".

Divisors: 1 5 11 55 121 605 93775517593 468877587965 1031530693523 5157653467615 11346837628753 56734188143765