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56611056100 = 22523161299371
BaseRepresentation
bin110100101110010010…
…000010100111100100
312102010022200121200111
4310232102002213210
51411414412243400
642001243222404
74042606015534
oct645622024744
9172108617614
1056611056100
1122010513385
12ab7ab17a04
135452605841
142a507634c4
151714e813ba
hexd2e4829e4

56611056100 has 72 divisors (see below), whose sum is σ = 128888028416. Its totient is φ = 21554640000.

The previous prime is 56611056079. The next prime is 56611056109. The reversal of 56611056100 is 165011665.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (56611056109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39415 + ... + 338785.

Almost surely, 256611056100 is an apocalyptic number.

56611056100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56611056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64444014208).

56611056100 is an abundant number, since it is smaller than the sum of its proper divisors (72276972316).

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

56611056100 is a wasteful number, since it uses less digits than its factorization.

56611056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299477 (or 299470 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 56611056100 its reverse (165011665), we get a palindrome (56776067765).

The spelling of 56611056100 in words is "fifty-six billion, six hundred eleven million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 100 122 124 155 244 305 310 610 620 775 1220 1525 1550 1891 3050 3100 3782 6100 7564 9455 18910 37820 47275 94550 189100 299371 598742 1197484 1496855 2993710 5987420 7484275 9280501 14968550 18261631 18561002 29937100 36523262 37122004 46402505 73046524 91308155 92805010 182616310 185610020 232012525 365232620 456540775 464025050 566110561 913081550 928050100 1132221122 1826163100 2264442244 2830552805 5661105610 11322211220 14152764025 28305528050 56611056100