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131642894825 = 52131227732993
BaseRepresentation
bin111101010011010000…
…1110010100111101001
3110120210102022221122022
41322212201302213221
54124101040113300
6140250444034225
712340143100121
oct1724641624751
9416712287568
10131642894825
1150913a89352
122161ab32975
13c54c378950
14652b767c81
1536571d7285
hex1ea68729e9

131642894825 has 24 divisors (see below), whose sum is σ = 175813544088. Its totient is φ = 97202350080.

The previous prime is 131642894821. The next prime is 131642894827. The reversal of 131642894825 is 528498246131.

It can be written as a sum of positive squares in 12 ways, for example, as 118317424729 + 13325470096 = 343973^2 + 115436^2 .

It is not a de Polignac number, because 131642894825 - 22 = 131642894821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131642894821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3973529 + ... + 4006521.

It is an arithmetic number, because the mean of its divisors is an integer number (7325564337).

Almost surely, 2131642894825 is an apocalyptic number.

It is an amenable number.

131642894825 is a deficient number, since it is larger than the sum of its proper divisors (44170649263).

131642894825 is a wasteful number, since it uses less digits than its factorization.

131642894825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45293 (or 45288 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 53.

The spelling of 131642894825 in words is "one hundred thirty-one billion, six hundred forty-two million, eight hundred ninety-four thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 12277 32993 61385 159601 164965 306925 428909 798005 824825 2144545 3990025 10722725 405055061 2025275305 5265715793 10126376525 26328578965 131642894825