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107939188681 = 292113292
BaseRepresentation
bin110010010000110101…
…1010100111111001001
3101022121110121220200221
41210201223110333021
53232024413014211
6121330411230041
710540555652122
oct1444153247711
9338543556627
10107939188681
114185a949065
1218b04748321
13a24258051c
14531d619049
152c1b221c71
hex1921ad4fc9

107939188681 has 9 divisors (see below), whose sum is σ = 111799444341. Its totient is φ = 104207948544.

The previous prime is 107939188657. The next prime is 107939188733. The reversal of 107939188681 is 186881939701.

The square root of 107939188681 is 328541.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1702305081 + 106236883600 = 41259^2 + 325940^2 .

It is not a de Polignac number, because 107939188681 - 215 = 107939155913 is a prime.

It is a super-2 number, since 2×1079391886812 (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 (107939188601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9522025 + ... + 9533353.

Almost surely, 2107939188681 is an apocalyptic number.

107939188681 is the 328541-st square number.

107939188681 is the 164271-st centered octagonal number.

It is an amenable number.

107939188681 is a deficient number, since it is larger than the sum of its proper divisors (3860255660).

107939188681 is an frugal number, since it uses more digits than its factorization.

107939188681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22716 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 61.

The spelling of 107939188681 in words is "one hundred seven billion, nine hundred thirty-nine million, one hundred eighty-eight thousand, six hundred eighty-one".

Divisors: 1 29 841 11329 328541 9527689 128346241 3722040989 107939188681