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137112432541 = 722798212909
BaseRepresentation
bin111111110110010001…
…0011010111110011101
3111002220121020020212021
41333230202122332131
54221301240320131
6142553311140141
712622526306200
oct1775442327635
9432817206767
10137112432541
1153170436a57
12226a6814651
13cc115850b6
1468c9d31937
15387748ae11
hex1fec89af9d

137112432541 has 6 divisors (see below), whose sum is σ = 159498135870. Its totient is φ = 117524942136.

The previous prime is 137112432529. The next prime is 137112432571. The reversal of 137112432541 is 145234211731.

It can be written as a sum of positive squares in only one way, i.e., 123039592900 + 14072839641 = 350770^2 + 118629^2 .

It is not a de Polignac number, because 137112432541 - 213 = 137112424349 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137112432497 and 137112432506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137112432571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1399106406 + ... + 1399106503.

It is an arithmetic number, because the mean of its divisors is an integer number (26583022645).

Almost surely, 2137112432541 is an apocalyptic number.

It is an amenable number.

137112432541 is a deficient number, since it is larger than the sum of its proper divisors (22385703329).

137112432541 is an equidigital number, since it uses as much as digits as its factorization.

137112432541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798212923 (or 2798212916 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The spelling of 137112432541 in words is "one hundred thirty-seven billion, one hundred twelve million, four hundred thirty-two thousand, five hundred forty-one".

Divisors: 1 7 49 2798212909 19587490363 137112432541