Search a number
-
+
56132223165 = 32519428915307
BaseRepresentation
bin110100010001101111…
…011100000010111101
312100212221200101101100
4310101233130002331
51404424322120130
641441540203313
74025003011254
oct642157340275
9170787611340
1056132223165
11218951a4087
12aa66699539
1353a7352145
142a06d1b79b
1516d7de9c60
hexd11bdc0bd

56132223165 has 48 divisors (see below), whose sum is σ = 102447259200. Its totient is φ = 28353079296.

The previous prime is 56132223137. The next prime is 56132223233.

56132223165 is a `hidden beast` number, since 5 + 613 + 2 + 2 + 2 + 31 + 6 + 5 = 666.

56132223165 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-56132223165 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 3659442 + ... + 3674748.

It is an arithmetic number, because the mean of its divisors is an integer number (2134317900).

Almost surely, 256132223165 is an apocalyptic number.

It is an amenable number.

56132223165 is a deficient number, since it is larger than the sum of its proper divisors (46315036035).

56132223165 is a wasteful number, since it uses less digits than its factorization.

56132223165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19626 (or 19623 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 56132223165 in words is "fifty-six billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 4289 12867 15307 21445 38601 45921 64335 76535 81491 137763 193005 229605 244473 290833 407455 688815 733419 872499 1222365 1454165 2617497 3667095 4362495 13087485 65651723 196955169 328258615 590865507 984775845 1247382737 2954327535 3742148211 6236913685 11226444633 18710741055 56132223165