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112640136641 = 5310993720809
BaseRepresentation
bin110100011100111100…
…0000001010111000001
3101202202002021210222122
41220321320001113001
53321141333333031
6123425101014025
711065220235554
oct1507170012701
9352662253878
10112640136641
114385246991a
12199b6b54315
13a811483936
145647ab269b
152de3ca547b
hex1a39e015c1

112640136641 has 16 divisors (see below), whose sum is σ = 115947493200. Its totient is φ = 109378833408.

The previous prime is 112640136607. The next prime is 112640136667. The reversal of 112640136641 is 146631046211.

It can be written as a sum of positive squares in 8 ways, for example, as 4067250625 + 108572886016 = 63775^2 + 329504^2 .

It is a cyclic number.

It is not a de Polignac number, because 112640136641 - 218 = 112639874497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112640136041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5402645 + ... + 5423453.

It is an arithmetic number, because the mean of its divisors is an integer number (7246718325).

Almost surely, 2112640136641 is an apocalyptic number.

It is an amenable number.

112640136641 is a deficient number, since it is larger than the sum of its proper divisors (3307356559).

112640136641 is a wasteful number, since it uses less digits than its factorization.

112640136641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21908.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 112640136641 in words is "one hundred twelve billion, six hundred forty million, one hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 53 109 937 5777 20809 49661 102133 1102877 2268181 5413049 19498033 120213593 1033395749 2125285597 112640136641