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137304387561 = 31123317857249
BaseRepresentation
bin111111111011111111…
…0101010111111101001
3111010101222102120122110
41333313332222333221
54222144410400221
6143024325312533
712630350015625
oct1776776527751
9433358376573
10137304387561
1153259824670
122273ab65749
13cc42283653
14690761c185
153889256776
hex1ff7faafe9

137304387561 has 16 divisors (see below), whose sum is σ = 200572632000. Its totient is φ = 82857630720.

The previous prime is 137304387557. The next prime is 137304387569. The reversal of 137304387561 is 165783403731.

It is not a de Polignac number, because 137304387561 - 22 = 137304387557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137304387561.

It is not an unprimeable number, because it can be changed into a prime (137304387569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8920936 + ... + 8936313.

It is an arithmetic number, because the mean of its divisors is an integer number (12535789500).

Almost surely, 2137304387561 is an apocalyptic number.

137304387561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137304387561 is a deficient number, since it is larger than the sum of its proper divisors (63268244439).

137304387561 is a wasteful number, since it uses less digits than its factorization.

137304387561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17857496.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 137304387561 in words is "one hundred thirty-seven billion, three hundred four million, three hundred eighty-seven thousand, five hundred sixty-one".

Divisors: 1 3 11 33 233 699 2563 7689 17857249 53571747 196429739 589289217 4160739017 12482217051 45768129187 137304387561