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131759844449 = 372317303613
BaseRepresentation
bin111101010110101111…
…1111010110001100001
3110121002120101121100212
41322231133322301201
54124321010010244
6140310222423505
712343063125122
oct1725537726141
9417076347325
10131759844449
1150973aa7332
1221652131b95
13c56a6752cc
14653d0cc049
1536625d8d9e
hex1ead7fac61

131759844449 has 12 divisors (see below), whose sum is σ = 135844797564. Its totient is φ = 127793934144.

The previous prime is 131759844413. The next prime is 131759844607. The reversal of 131759844449 is 944448957131.

It can be written as a sum of positive squares in 6 ways, for example, as 620259025 + 131139585424 = 24905^2 + 362132^2 .

It is a de Polignac number, because none of the positive numbers 2k-131759844449 is a prime.

It is a super-2 number, since 2×1317598444492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131759841449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282167 + ... + 585779.

It is an arithmetic number, because the mean of its divisors is an integer number (11320399797).

Almost surely, 2131759844449 is an apocalyptic number.

It is an amenable number.

131759844449 is a deficient number, since it is larger than the sum of its proper divisors (4084953115).

131759844449 is an equidigital number, since it uses as much as digits as its factorization.

131759844449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304004 (or 303967 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 59.

The spelling of 131759844449 in words is "one hundred thirty-one billion, seven hundred fifty-nine million, eight hundred forty-four thousand, four hundred forty-nine".

Divisors: 1 37 317 1369 11729 303613 433973 11233681 96245321 415646197 3561076877 131759844449