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137579039345 = 51129551915629
BaseRepresentation
bin1000000000100001011…
…0011000101001110001
3111011010010020100001202
42000020112120221301
54223230213224340
6143111500140545
712640223352656
oct2001026305161
9434103210052
10137579039345
115338a865610
12227b6b37755
13cc871478b7
146931cb3c2d
1538a3409c15
hex2008598a71

137579039345 has 32 divisors (see below), whose sum is σ = 186359616000. Its totient is φ = 96583540480.

The previous prime is 137579039329. The next prime is 137579039359. The reversal of 137579039345 is 543930975731.

It is not a de Polignac number, because 137579039345 - 24 = 137579039329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8794991 + ... + 8810619.

It is an arithmetic number, because the mean of its divisors is an integer number (5823738000).

Almost surely, 2137579039345 is an apocalyptic number.

It is an amenable number.

137579039345 is a deficient number, since it is larger than the sum of its proper divisors (48780576655).

137579039345 is a wasteful number, since it uses less digits than its factorization.

137579039345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21193.

The product of its (nonzero) digits is 10716300, while the sum is 56.

The spelling of 137579039345 in words is "one hundred thirty-seven billion, five hundred seventy-nine million, thirty-nine thousand, three hundred forty-five".

Divisors: 1 5 11 29 55 145 319 1595 5519 15629 27595 60709 78145 160051 171919 303545 453241 800255 859595 1760561 2266205 4985651 8802805 24928255 86256451 431282255 948820961 2501437079 4744104805 12507185395 27515807869 137579039345