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107136418489 = 3273172
BaseRepresentation
bin110001111000111010…
…1000000001010111001
3101020112112001222000121
41203301311000022321
53223403410342424
6121115013133241
710511640350212
oct1436165001271
9336475058017
10107136418489
1141488795a21
121891b92a221
13a14516a789
145284b6c409
152bc09edee4
hex18f1d402b9

107136418489 has 3 divisors (see below), whose sum is σ = 107136745807. Its totient is φ = 107136091172.

The previous prime is 107136418481. The next prime is 107136418513. The reversal of 107136418489 is 984814631701.

It is a happy number.

The square root of 107136418489 is 327317.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 78335613225 + 28800805264 = 279885^2 + 169708^2 .

It is not a de Polignac number, because 107136418489 - 23 = 107136418481 is a prime.

It is a super-2 number, since 2×1071364184892 (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 (107136418481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163659 + ... + 490975.

Almost surely, 2107136418489 is an apocalyptic number.

107136418489 is the 327317-th square number.

107136418489 is the 163659-th centered octagonal number.

It is an amenable number.

107136418489 is a deficient number, since it is larger than the sum of its proper divisors (327318).

107136418489 is an frugal number, since it uses more digits than its factorization.

107136418489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654634 (or 327317 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

It can be divided in two parts, 107136 and 418489, that added together give a square (525625 = 7252).

The spelling of 107136418489 in words is "one hundred seven billion, one hundred thirty-six million, four hundred eighteen thousand, four hundred eighty-nine".

Divisors: 1 327317 107136418489