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115981917161 = 11446716963
BaseRepresentation
bin110110000000100001…
…1111001101111101001
3102002100222102212001112
41230001003321233221
53400012332322121
6125140435000105
711244066013115
oct1540103715751
9362328385045
10115981917161
1145207850000
121a58a139035
13ac24904066
145883846745
15303c35c75b
hex1b010f9be9

115981917161 has 20 divisors (see below), whose sum is σ = 127860042960. Its totient is φ = 105206126520.

The previous prime is 115981917131. The next prime is 115981917179. The reversal of 115981917161 is 161719189511.

It is not a de Polignac number, because 115981917161 - 222 = 115977722857 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115981917131) 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 19 ways as a sum of consecutive naturals, for example, 6828866 + ... + 6845828.

It is an arithmetic number, because the mean of its divisors is an integer number (6393002148).

Almost surely, 2115981917161 is an apocalyptic number.

115981917161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115981917161 is a deficient number, since it is larger than the sum of its proper divisors (11878125799).

115981917161 is an frugal number, since it uses more digits than its factorization.

115981917161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474 (or 17441 counting only the distinct ones).

The product of its digits is 136080, while the sum is 50.

The spelling of 115981917161 in words is "one hundred fifteen billion, nine hundred eighty-one million, nine hundred seventeen thousand, one hundred sixty-one".

Divisors: 1 11 121 467 1331 5137 14641 16963 56507 186593 621577 2052523 6837347 7921721 22577753 87138931 248355283 958528241 10543810651 115981917161