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107159986609 = 1361492
BaseRepresentation
bin110001111001100111…
…0111010000110110001
3101020121011102100101221
41203303032322012301
53223430424032414
6121121214225041
710512344600014
oct1436316720661
9336534370357
10107159986609
11414a0023005
12189277b5181
13a14a000000
145287d4537b
152bc2b07224
hex18f33ba1b1

107159986609 has 21 divisors (see below), whose sum is σ = 116874340093. Its totient is φ = 98253038832.

The previous prime is 107159986607. The next prime is 107159986621. The reversal of 107159986609 is 906689951701.

The square root of 107159986609 is 327353.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 147258225 + 107012728384 = 12135^2 + 327128^2 .

It is not a de Polignac number, because 107159986609 - 21 = 107159986607 is a prime.

It is a super-2 number, since 2×1071599866092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107159986601) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 719194467 + ... + 719194615.

Almost surely, 2107159986609 is an apocalyptic number.

107159986609 is the 327353-rd square number.

107159986609 is the 163677-th centered octagonal number.

It is an amenable number.

107159986609 is a deficient number, since it is larger than the sum of its proper divisors (9714353484).

107159986609 is an frugal number, since it uses more digits than its factorization.

107159986609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 61.

The spelling of 107159986609 in words is "one hundred seven billion, one hundred fifty-nine million, nine hundred eighty-six thousand, six hundred nine".

Divisors: 1 13 149 169 1937 2197 22201 25181 28561 288613 327353 371293 3751969 4255589 4826809 48775597 55322657 634082761 719194541 8243075893 107159986609