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131827359493 = 2918125114757
BaseRepresentation
bin111101011000110000…
…1011101111100000101
3110121021021102201121001
41322301201131330011
54124440301000433
6140321033453301
712344543032024
oct1726141357405
9417237381531
10131827359493
11509a9120395
1221670871231
13c57b653a3b
1465480648bb
1536684c357d
hex1eb185df05

131827359493 has 8 divisors (see below), whose sum is σ = 137126578680. Its totient is φ = 126578370240.

The previous prime is 131827359473. The next prime is 131827359523. The reversal of 131827359493 is 394953728131.

It can be written as a sum of positive squares in 4 ways, for example, as 9314759169 + 122512600324 = 96513^2 + 350018^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131827359493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131827359403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12552130 + ... + 12562627.

It is an arithmetic number, because the mean of its divisors is an integer number (17140822335).

Almost surely, 2131827359493 is an apocalyptic number.

It is an amenable number.

131827359493 is a deficient number, since it is larger than the sum of its proper divisors (5299219187).

131827359493 is a wasteful number, since it uses less digits than its factorization.

131827359493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25114967.

The product of its digits is 4898880, while the sum is 55.

The spelling of 131827359493 in words is "one hundred thirty-one billion, eight hundred twenty-seven million, three hundred fifty-nine thousand, four hundred ninety-three".

Divisors: 1 29 181 5249 25114757 728327953 4545771017 131827359493