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56460683232 = 2534113192767
BaseRepresentation
bin110100100101010100…
…011010011111100000
312101201211201212220000
4310211110122133200
51411112413330412
641534312220000
74036101613632
oct644524323740
9171654655800
1056460683232
1121a43646a88
12ab3869a600
13542a406005
142a387bca52
151706b7b4dc
hexd2551a7e0

56460683232 has 120 divisors (see below), whose sum is σ = 167519632896. Its totient is φ = 18653580288.

The previous prime is 56460683189. The next prime is 56460683239. The reversal of 56460683232 is 23238606465.

It is a happy number.

56460683232 is a `hidden beast` number, since 5 + 6 + 4 + 606 + 8 + 3 + 2 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56460683239) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 196513 + ... + 389279.

Almost surely, 256460683232 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 56460683232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83759816448).

56460683232 is an abundant number, since it is smaller than the sum of its proper divisors (111058949664).

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

56460683232 is a wasteful number, since it uses less digits than its factorization.

56460683232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192902 (or 192885 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 56460683232 in words is "fifty-six billion, four hundred sixty million, six hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 113 144 162 216 226 288 324 339 432 452 648 678 864 904 1017 1296 1356 1808 2034 2592 2712 3051 3616 4068 5424 6102 8136 9153 10848 12204 16272 18306 24408 32544 36612 48816 73224 97632 146448 192767 292896 385534 578301 771068 1156602 1542136 1734903 2313204 3084272 3469806 4626408 5204709 6168544 6939612 9252816 10409418 13879224 15614127 18505632 20818836 21782671 27758448 31228254 41637672 43565342 55516896 62456508 65348013 83275344 87130684 124913016 130696026 166550688 174261368 196044039 249826032 261392052 348522736 392088078 499652064 522784104 588132117 697045472 784176156 1045568208 1176264234 1568352312 1764396351 2091136416 2352528468 3136704624 3528792702 4705056936 6273409248 7057585404 9410113872 14115170808 18820227744 28230341616 56460683232