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56463606216 = 233229268310079
BaseRepresentation
bin110100100101011111…
…100100000111001000
312101202001020101110200
4310211133210013020
51411114140344331
641534455012200
74036135506513
oct644537440710
9171661211420
1056463606216
1121a45263076
12ab3966a060
13542abba5a4
142a38d3dd7a
1517070575e6
hexd257e41c8

56463606216 has 96 divisors (see below), whose sum is σ = 158270112000. Its totient is φ = 18163619712.

The previous prime is 56463606179. The next prime is 56463606253. The reversal of 56463606216 is 61260636465.

56463606216 is a `hidden beast` number, since 5 + 6 + 4 + 636 + 0 + 6 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56463606179) and next prime (56463606253).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5597065 + ... + 5607143.

It is an arithmetic number, because the mean of its divisors is an integer number (1648647000).

Almost surely, 256463606216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56463606216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79135056000).

56463606216 is an abundant number, since it is smaller than the sum of its proper divisors (101806505784).

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

56463606216 is a wasteful number, since it uses less digits than its factorization.

56463606216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 56463606216 in words is "fifty-six billion, four hundred sixty-three million, six hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2683 5366 8049 10079 10732 16098 20158 21464 24147 30237 32196 40316 48294 60474 64392 77807 80632 90711 96588 120948 155614 181422 193176 233421 241896 292291 311228 362844 466842 584582 622456 700263 725688 876873 933684 1169164 1400526 1753746 1867368 2338328 2630619 2801052 3507492 5261238 5602104 7014984 10522476 21044952 27041957 54083914 81125871 108167828 162251742 216335656 243377613 324503484 486755226 649006968 784216753 973510452 1568433506 1947020904 2352650259 3136867012 4705300518 6273734024 7057950777 9410601036 14115901554 18821202072 28231803108 56463606216