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137844527523 = 3177947217247
BaseRepresentation
bin1000000001100000101…
…1001001000110100011
3111011210121210112101020
42000120023021012203
54224301144340043
6143154102340523
712646626102663
oct2003013110643
9434717715336
10137844527523
115350670782a
122286ba2a743
13ccca150bb1
1469592621a3
1538bb89ce83
hex20182c91a3

137844527523 has 32 divisors (see below), whose sum is σ = 197136322560. Its totient is φ = 85365995520.

The previous prime is 137844527507. The next prime is 137844527551. The reversal of 137844527523 is 325725448731.

It is not a de Polignac number, because 137844527523 - 24 = 137844527507 is a prime.

It is a super-3 number, since 3×1378445275233 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (137844527563) by changing a digit.

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, 19017286 + ... + 19024532.

It is an arithmetic number, because the mean of its divisors is an integer number (6160510080).

Almost surely, 2137844527523 is an apocalyptic number.

137844527523 is a deficient number, since it is larger than the sum of its proper divisors (59291795037).

137844527523 is a wasteful number, since it uses less digits than its factorization.

137844527523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067.

The product of its digits is 5644800, while the sum is 51.

The spelling of 137844527523 in words is "one hundred thirty-seven billion, eight hundred forty-four million, five hundred twenty-seven thousand, five hundred twenty-three".

Divisors: 1 3 17 51 79 237 1343 4029 4721 7247 14163 21741 80257 123199 240771 369597 372959 572513 1118877 1717539 6340303 9732721 19020909 29198163 34213087 102639261 581622479 1744867437 2702833873 8108501619 45948175841 137844527523