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131739276048 = 24325189108959
BaseRepresentation
bin111101010110001000…
…1011101001100010000
3110121001010200121211020
41322230101131030100
54124300223313143
6140304205515440
712342423241002
oct1725421351420
9417033617736
10131739276048
1150963428a56
1221647272b80
13c566323263
14653a496372
1536608c4883
hex1eac45d310

131739276048 has 40 divisors (see below), whose sum is σ = 340343097600. Its totient is φ = 43910945664.

The previous prime is 131739276037. The next prime is 131739276061. The reversal of 131739276048 is 840672937131.

It is a happy number.

It is a super-2 number, since 2×1317392760482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154593 + ... + 1263551.

It is an arithmetic number, because the mean of its divisors is an integer number (8508577440).

Almost surely, 2131739276048 is an apocalyptic number.

It is an amenable number.

131739276048 is an abundant number, since it is smaller than the sum of its proper divisors (208603821552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131739276048 is a wasteful number, since it uses less digits than its factorization.

131739276048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134159 (or 134153 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 131739276048 in words is "one hundred thirty-one billion, seven hundred thirty-nine million, two hundred seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 25189 50378 75567 100756 108959 151134 201512 217918 302268 326877 403024 435836 604536 653754 871672 1209072 1307508 1743344 2615016 5230032 2744568251 5489136502 8233704753 10978273004 16467409506 21956546008 32934819012 43913092016 65869638024 131739276048