Search a number
-
+
115017642117 = 3372332611841
BaseRepresentation
bin110101100011110010…
…1011111000010000101
3101222212202222121101000
41223013211133002011
53341024004021432
6124501031123513
711211146553450
oct1530745370205
9358782877330
10115017642117
1144862507984
121a35b213599
13aaccbc4901
1457d1758497
152ed288657c
hex1ac795f085

115017642117 has 32 divisors (see below), whose sum is σ = 195574728960. Its totient is φ = 65442263040.

The previous prime is 115017642097. The next prime is 115017642133. The reversal of 115017642117 is 711246710511.

115017642117 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 1 + 7 + 642 + 1 + 1 + 7 = 666.

It is not a de Polignac number, because 115017642117 - 26 = 115017642053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115017642617) 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 31 ways as a sum of consecutive naturals, for example, 1261884 + ... + 1349957.

It is an arithmetic number, because the mean of its divisors is an integer number (6111710280).

Almost surely, 2115017642117 is an apocalyptic number.

It is an amenable number.

115017642117 is a deficient number, since it is larger than the sum of its proper divisors (80557086843).

115017642117 is a wasteful number, since it uses less digits than its factorization.

115017642117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612090 (or 2612084 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 115017642117 in words is "one hundred fifteen billion, seventeen million, six hundred forty-two thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 27 63 189 233 699 1631 2097 4893 6291 14679 44037 2611841 7835523 18282887 23506569 54848661 70519707 164545983 493637949 608558953 1825676859 4259912671 5477030577 12779738013 16431091731 38339214039 115017642117