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56065342100 = 22521732979613
BaseRepresentation
bin110100001101110000…
…010011101010010100
312100201021211110210212
4310031300103222110
51404310211421400
641431150504552
74023231354605
oct641560235224
9170637743725
1056065342100
1121860473379
12aa48205158
135396536151
1429dc0abdac
1516d20d8335
hexd0dc13a94

56065342100 has 36 divisors (see below), whose sum is σ = 128818372284. Its totient is φ = 21106951680.

The previous prime is 56065342043. The next prime is 56065342103. The reversal of 56065342100 is 124356065.

It can be written as a sum of positive squares in 6 ways, for example, as 5074282756 + 50991059344 = 71234^2 + 225812^2 .

It is a super-5 number, since 5×560653421005 (a number of 55 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56065342103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16488107 + ... + 16491506.

It is an arithmetic number, because the mean of its divisors is an integer number (3578288119).

Almost surely, 256065342100 is an apocalyptic number.

56065342100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56065342100 is an abundant number, since it is smaller than the sum of its proper divisors (72753030184).

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

56065342100 is a wasteful number, since it uses less digits than its factorization.

56065342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32979644 (or 32979637 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 56065342100 its reverse (124356065), we get a palindrome (56189698165).

The spelling of 56065342100 in words is "fifty-six billion, sixty-five million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 32979613 65959226 131918452 164898065 329796130 560653421 659592260 824490325 1121306842 1648980650 2242613684 2803267105 3297961300 5606534210 11213068420 14016335525 28032671050 56065342100