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56747511574765 = 5112412718441863
BaseRepresentation
bin11001110011100100011110…
…10001001111000011101101
321102221000020122121021201021
430321302033101033003231
524414222400430343030
6320405240311414141
714644605144451444
oct1471621721170355
9242830218537637
1056747511574765
1117099536974500
12644606a984351
13258836258384b
141002846751d5b
156861edd5397a
hex339c8f44f0ed

56747511574765 has 48 divisors (see below), whose sum is σ = 76959003760128. Its totient is φ = 40115728224000.

The previous prime is 56747511574729. The next prime is 56747511574807.

56747511574765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56747511574765 - 237 = 56610072621293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56747511574694 and 56747511574703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501224 + ... + 10943086.

It is an arithmetic number, because the mean of its divisors is an integer number (1603312578336).

Almost surely, 256747511574765 is an apocalyptic number.

56747511574765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56747511574765 is a deficient number, since it is larger than the sum of its proper divisors (20211492185363).

56747511574765 is a wasteful number, since it uses less digits than its factorization.

56747511574765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442202 (or 8442191 counting only the distinct ones).

The product of its digits is 864360000, while the sum is 70.

The spelling of 56747511574765 in words is "fifty-six trillion, seven hundred forty-seven billion, five hundred eleven million, five hundred seventy-four thousand, seven hundred sixty-five".

Divisors: 1 5 11 41 55 121 205 271 451 605 1355 2255 2981 4961 11111 14905 24805 32791 55555 122221 163955 611105 1344431 6722155 8441863 42209315 92860493 346116383 464302465 1021465423 1730581915 2287744873 3807280213 5107327115 11438724365 19036401065 25165193603 41880082343 93797539793 125825968015 209400411715 276817129633 468987698965 1031772937723 1384085648165 5158864688615 11349502314953 56747511574765