Search a number
-
+
56564973600 = 2535223568739
BaseRepresentation
bin110100101011100010…
…010000000000100000
312102000002222101101020
4310223202100000200
51411321113123400
641552515405440
74041506225322
oct645342200040
9172002871336
1056564973600
1121a974a8973
12ab675b3880
135445bbc5a5
142a485a9612
151710dcc2a0
hexd2b890020

56564973600 has 72 divisors (see below), whose sum is σ = 184118996880. Its totient is φ = 15083992320.

The previous prime is 56564973593. The next prime is 56564973601. The reversal of 56564973600 is 637946565.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56564973601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11781970 + ... + 11786769.

It is an arithmetic number, because the mean of its divisors is an integer number (2557208290).

Almost surely, 256564973600 is an apocalyptic number.

56564973600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56564973600 is an abundant number, since it is smaller than the sum of its proper divisors (127554023280).

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

56564973600 is a wasteful number, since it uses less digits than its factorization.

56564973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23568762 (or 23568749 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 56564973600 in words is "fifty-six billion, five hundred sixty-four million, nine hundred seventy-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 23568739 47137478 70706217 94274956 117843695 141412434 188549912 235687390 282824868 353531085 377099824 471374780 565649736 589218475 707062170 754199648 942749560 1131299472 1178436950 1414124340 1767655425 1885499120 2262598944 2356873900 2828248680 3535310850 3770998240 4713747800 5656497360 7070621700 9427495600 11312994720 14141243400 18854991200 28282486800 56564973600