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137577611665 = 5132116578641
BaseRepresentation
bin1000000000100001000…
…0111100000110010001
3111011010000112210122201
42000020100330012101
54223224332033130
6143111405403201
712640205255434
oct2001020740621
9434100483581
10137577611665
1153389a7aa0a
12227b6569501
13cc86a67b10
146931a2181b
1538a3226bca
hex200843c191

137577611665 has 8 divisors (see below), whose sum is σ = 177792605928. Its totient is φ = 101595774720.

The previous prime is 137577611657. The next prime is 137577611719. The reversal of 137577611665 is 566116775731.

It can be written as a sum of positive squares in 4 ways, for example, as 639128961 + 136938482704 = 25281^2 + 370052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137577611665 - 23 = 137577611657 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058289256 + ... + 1058289385.

It is an arithmetic number, because the mean of its divisors is an integer number (22224075741).

Almost surely, 2137577611665 is an apocalyptic number.

It is an amenable number.

137577611665 is a deficient number, since it is larger than the sum of its proper divisors (40214994263).

137577611665 is a wasteful number, since it uses less digits than its factorization.

137577611665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116578659.

The product of its digits is 5556600, while the sum is 55.

The spelling of 137577611665 in words is "one hundred thirty-seven billion, five hundred seventy-seven million, six hundred eleven thousand, six hundred sixty-five".

Divisors: 1 5 13 65 2116578641 10582893205 27515522333 137577611665