Search a number
-
+
116631641611665 = 3253770049034001
BaseRepresentation
bin11010100001001101101011…
…100100010101110110010001
3120021221212122122012210201200
4122201031223210111312101
5110241343100223033130
61052015500402421413
733365233543244535
oct3241155344256621
9507855578183650
10116631641611665
1134187224122324
12110b7bb0961869
13501041679889b
1420b3004465bc5
15d73ccb310760
hex6a136b915d91

116631641611665 has 24 divisors (see below), whose sum is σ = 207625336781928. Its totient is φ = 60522365376000.

The previous prime is 116631641611643. The next prime is 116631641611669. The reversal of 116631641611665 is 566116146136611.

116631641611665 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 3 + 16 + 4 + 1 + 611 + 6 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4078553928849 + 112553087682816 = 2019543^2 + 10609104^2 .

It is not a de Polignac number, because 116631641611665 - 225 = 116631608057233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116631641611669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35024515336 + ... + 35024518665.

It is an arithmetic number, because the mean of its divisors is an integer number (8651055699247).

Almost surely, 2116631641611665 is an apocalyptic number.

116631641611665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116631641611665 is a deficient number, since it is larger than the sum of its proper divisors (90993695170263).

116631641611665 is a wasteful number, since it uses less digits than its factorization.

116631641611665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70049034049 (or 70049034046 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 116631641611665 in words is "one hundred sixteen trillion, six hundred thirty-one billion, six hundred forty-one million, six hundred eleven thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 70049034001 210147102003 350245170005 630441306009 1050735510015 2591814258037 3152206530045 7775442774111 12959071290185 23326328322333 38877213870555 116631641611665