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56620822100 = 22527327728001
BaseRepresentation
bin110100101110110111…
…010010111001010100
312102011000001210010012
4310232313102321110
51411424412301400
642002232415352
74043055022043
oct645667227124
9172130053105
1056620822100
1122015a83757
12ab82247558
135454644a3b
142a51b8655a
151715c5ed35
hexd2edd2e54

56620822100 has 72 divisors (see below), whose sum is σ = 125004400248. Its totient is φ = 22256640000.

The previous prime is 56620822051. The next prime is 56620822117. The reversal of 56620822100 is 122802665.

It can be written as a sum of positive squares in 12 ways, for example, as 17201896336 + 39418925764 = 131156^2 + 198542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2008100 + ... + 2036100.

Almost surely, 256620822100 is an apocalyptic number.

56620822100 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 56620822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62502200124).

56620822100 is an abundant number, since it is smaller than the sum of its proper divisors (68383578148).

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

56620822100 is a wasteful number, since it uses less digits than its factorization.

56620822100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28365 (or 28358 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 56620822100 in words is "fifty-six billion, six hundred twenty million, eight hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 277 292 365 554 730 1108 1385 1460 1825 2770 3650 5540 6925 7300 13850 20221 27700 28001 40442 56002 80884 101105 112004 140005 202210 280010 404420 505525 560020 700025 1011050 1400050 2022100 2044073 2800100 4088146 7756277 8176292 10220365 15512554 20440730 31025108 38781385 40881460 51101825 77562770 102203650 155125540 193906925 204407300 387813850 566208221 775627700 1132416442 2264832884 2831041105 5662082210 11324164420 14155205525 28310411050 56620822100