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105600600056 = 2375335579717
BaseRepresentation
bin110001001011001001…
…0010100011111111000
3101002120111011022012102
41202112102110133320
53212232223200211
6120302351202532
710425611201360
oct1422622243770
9332514138172
10105600600056
114086a870896
1218571516448
139c5bc17083
14517abc39a0
152b30c7ba3b
hex18964947f8

105600600056 has 32 divisors (see below), whose sum is σ = 230556572640. Its totient is φ = 44403485568.

The previous prime is 105600600047. The next prime is 105600600073. The reversal of 105600600056 is 650006006501.

It is a super-2 number, since 2×1056006000562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17786891 + ... + 17792826.

It is an arithmetic number, because the mean of its divisors is an integer number (7204892895).

Almost surely, 2105600600056 is an apocalyptic number.

It is an amenable number.

105600600056 is an abundant number, since it is smaller than the sum of its proper divisors (124955972584).

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

105600600056 is a wasteful number, since it uses less digits than its factorization.

105600600056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35579783 (or 35579779 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 105600600056 its reverse (650006006501), we get a palindrome (755606606557).

The spelling of 105600600056 in words is "one hundred five billion, six hundred million, six hundred thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 35579717 71159434 142318868 249058019 284637736 498116038 996232076 1885725001 1992464152 3771450002 7542900004 13200075007 15085800008 26400150014 52800300028 105600600056