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137638902625 = 537157301603
BaseRepresentation
bin1000000000101111101…
…0101111101101100001
3111011021021212201001021
42000023322233231201
54223341024341000
6143121435205441
712641551240330
oct2001372575541
9434237781037
10137638902625
11534106327a4
1222812ba6881
13cc96677563
146939c17d17
1538a87d211a
hex200beafb61

137638902625 has 16 divisors (see below), whose sum is σ = 196312401792. Its totient is φ = 94380961200.

The previous prime is 137638902613. The next prime is 137638902641. The reversal of 137638902625 is 526209836731.

137638902625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137638902625 - 211 = 137638900577 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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78649927 + ... + 78651676.

It is an arithmetic number, because the mean of its divisors is an integer number (12269525112).

Almost surely, 2137638902625 is an apocalyptic number.

It is an amenable number.

137638902625 is a deficient number, since it is larger than the sum of its proper divisors (58673499167).

137638902625 is an equidigital number, since it uses as much as digits as its factorization.

137638902625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157301625 (or 157301615 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 137638902625 in words is "one hundred thirty-seven billion, six hundred thirty-eight million, nine hundred two thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 125 175 875 157301603 786508015 1101111221 3932540075 5505556105 19662700375 27527780525 137638902625