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137800825617 = 37131273974527
BaseRepresentation
bin1000000001010110010…
…0011011101100010001
3111011200120120020122010
42000111210123230101
54224204002404432
6143145501533133
712645555456120
oct2002544335421
9434616506563
10137800825617
1153493a78954
12228592741a9
13ccc108c390
146953527ab7
1538b7b193cc
hex201591bb11

137800825617 has 32 divisors (see below), whose sum is σ = 227915333632. Its totient is φ = 72113799744.

The previous prime is 137800825607. The next prime is 137800825637. The reversal of 137800825617 is 716528008731.

It is a happy number.

It is not a de Polignac number, because 137800825617 - 24 = 137800825601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137800825607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952593 + ... + 2021934.

It is an arithmetic number, because the mean of its divisors is an integer number (7122354176).

Almost surely, 2137800825617 is an apocalyptic number.

It is an amenable number.

137800825617 is a deficient number, since it is larger than the sum of its proper divisors (90114508015).

137800825617 is a wasteful number, since it uses less digits than its factorization.

137800825617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974677.

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 137800825617 in words is "one hundred thirty-seven billion, eight hundred million, eight hundred twenty-five thousand, six hundred seventeen".

Divisors: 1 3 7 13 21 39 91 127 273 381 889 1651 2667 4953 11557 34671 3974527 11923581 27821689 51668851 83465067 155006553 361681957 504764929 1085045871 1514294787 3533354503 6561944077 10600063509 19685832231 45933608539 137800825617