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56736711763765 = 5116431604318161
BaseRepresentation
bin11001110011010000010111…
…00011001110011100110101
321102212222100222212001011021
430321220023203032130311
524414033241202420030
6320400252514141141
714644043415541135
oct1471501343163465
9242788328761137
1056736711763765
11170949a4738670
126443b55b817b1
132587330c7b537
1410021002b2ac5
15685cbab5997a
hex339a0b8ce735

56736711763765 has 16 divisors (see below), whose sum is σ = 74389024535616. Its totient is φ = 41198890348800.

The previous prime is 56736711763759. The next prime is 56736711763769.

56736711763765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56736711763765 - 227 = 56736577546037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56736711763694 and 56736711763703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56736711763769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802123716 + ... + 802194445.

It is an arithmetic number, because the mean of its divisors is an integer number (4649314033476).

Almost surely, 256736711763765 is an apocalyptic number.

56736711763765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56736711763765 is a deficient number, since it is larger than the sum of its proper divisors (17652312771851).

56736711763765 is a wasteful number, since it uses less digits than its factorization.

56736711763765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604318820.

The product of its digits is 700131600, while the sum is 70.

The spelling of 56736711763765 in words is "fifty-six trillion, seven hundred thirty-six billion, seven hundred eleven million, seven hundred sixty-three thousand, seven hundred sixty-five".

Divisors: 1 5 11 55 643 3215 7073 35365 1604318161 8021590805 17647499771 88237498855 1031576577523 5157882887615 11347342352753 56736711763765