Search a number
-
+
56575405063575 = 3352292890186721
BaseRepresentation
bin11001101110100011111001…
…11010111111110110010111
321102022120000020211122111000
430313101330322333312113
524403412412144013300
6320154214323514343
714626303164320316
oct1467217472776627
9242276006748430
1056575405063575
11170325492712a2
1264188388289b3
13257506509c048
14dd839b01627d
156819c9606c00
hex33747cebfd97

56575405063575 has 48 divisors (see below), whose sum is σ = 107514946058400. Its totient is φ = 29133082137600.

The previous prime is 56575405063561. The next prime is 56575405063601. The reversal of 56575405063575 is 57536050457565.

56575405063575 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 5 + 4 + 0 + 50 + 6 + 3 + 575 = 666.

It is not a de Polignac number, because 56575405063575 - 29 = 56575405063063 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445073786 + ... + 1445112935.

It is an arithmetic number, because the mean of its divisors is an integer number (2239894709550).

Almost surely, 256575405063575 is an apocalyptic number.

56575405063575 is a deficient number, since it is larger than the sum of its proper divisors (50939540994825).

56575405063575 is a wasteful number, since it uses less digits than its factorization.

56575405063575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890186769 (or 2890186758 counting only the distinct ones).

The product of its (nonzero) digits is 330750000, while the sum is 63.

The spelling of 56575405063575 in words is "fifty-six trillion, five hundred seventy-five billion, four hundred five million, sixty-three thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 135 145 225 261 435 675 725 783 1305 2175 3915 6525 19575 2890186721 8670560163 14450933605 26011680489 43352800815 72254668025 78035041467 83815414909 130058402445 216764004075 251446244727 390175207335 419077074545 650292012225 754338734181 1257231223635 1950876036675 2095385372725 2263016202543 3771693670905 6286156118175 11315081012715 18858468354525 56575405063575