Search a number
-
+
56753904189270 = 23517267403416159
BaseRepresentation
bin11001110011110000011000…
…10011000111111101010110
321102221121202011102202020110
430321320030103013331112
524414323443433024040
6320412214511343450
714645222440001511
oct1471701423077526
9242847664382213
1056753904189270
11170a1217386392
126447353821b86
132588b40aa6392
141002c91761d78
15686475191980
hex339e0c4c7f56

56753904189270 has 64 divisors (see below), whose sum is σ = 144222571837440. Its totient is φ = 14244029634048.

The previous prime is 56753904189181. The next prime is 56753904189337. The reversal of 56753904189270 is 7298140935765.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136167451 + ... + 136583609.

It is an arithmetic number, because the mean of its divisors is an integer number (2253477684960).

It is a 1-persistent number, because it is pandigital, but 2⋅56753904189270 = 113507808378540 is not.

Almost surely, 256753904189270 is an apocalyptic number.

56753904189270 is an abundant number, since it is smaller than the sum of its proper divisors (87468667648170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56753904189270 is a wasteful number, since it uses less digits than its factorization.

56753904189270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683589.

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 56753904189270 in words is "fifty-six trillion, seven hundred fifty-three billion, nine hundred four million, one hundred eighty-nine thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 267403 416159 534806 802209 832318 1248477 1337015 1604418 2080795 2496954 2674030 4011045 4161590 4545851 6242385 7074703 8022090 9091702 12484770 13637553 14149406 21224109 22729255 27275106 35373515 42448218 45458510 68187765 70747030 106120545 136375530 212241090 111282165077 222564330154 333846495231 556410825385 667692990462 1112821650770 1669232476155 1891796806309 3338464952310 3783593612618 5675390418927 9458984031545 11350780837854 18917968063090 28376952094635 56753904189270