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105726680412 = 2238810556701
BaseRepresentation
bin110001001110111001…
…1010001110101011100
3101002220021101211221020
41202131303101311130
53213012012233122
6120323053404140
710432001645523
oct1423563216534
9332807354836
10105726680412
1140924a55931
12185a7799650
139c7c08c732
14518d8434ba
152b3bd83c5c
hex189dcd1d5c

105726680412 has 12 divisors (see below), whose sum is σ = 246695587656. Its totient is φ = 35242226800.

The previous prime is 105726680407. The next prime is 105726680453. The reversal of 105726680412 is 214086627501.

It is a happy number.

105726680412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1057266804122 (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 3 ways as a sum of consecutive naturals, for example, 4405278339 + ... + 4405278362.

It is an arithmetic number, because the mean of its divisors is an integer number (20557965638).

Almost surely, 2105726680412 is an apocalyptic number.

105726680412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105726680412 is an abundant number, since it is smaller than the sum of its proper divisors (140968907244).

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

105726680412 is a wasteful number, since it uses less digits than its factorization.

105726680412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810556708 (or 8810556706 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 105726680412 in words is "one hundred five billion, seven hundred twenty-six million, six hundred eighty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 8810556701 17621113402 26431670103 35242226804 52863340206 105726680412