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131793657675 = 3526192838851
BaseRepresentation
bin111101010111110000…
…0111001111101001011
3110121011221000111101120
41322233200321331023
54124403134021200
6140313431250323
712343653415011
oct1725740717513
9417157014346
10131793657675
11509910a1749
12216615199a3
13c574683b34
1465437b08b1
1536655679a0
hex1eaf839f4b

131793657675 has 24 divisors (see below), whose sum is σ = 218250941760. Its totient is φ = 70176372000.

The previous prime is 131793657631. The next prime is 131793657691. The reversal of 131793657675 is 576756397131.

It is not a de Polignac number, because 131793657675 - 28 = 131793657419 is a prime.

It is a super-3 number, since 3×1317936576753 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1373001 + ... + 1465850.

It is an arithmetic number, because the mean of its divisors is an integer number (9093789240).

Almost surely, 2131793657675 is an apocalyptic number.

131793657675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131793657675 is a deficient number, since it is larger than the sum of its proper divisors (86457284085).

131793657675 is a wasteful number, since it uses less digits than its factorization.

131793657675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839483 (or 2839478 counting only the distinct ones).

The product of its digits is 25004700, while the sum is 60.

The spelling of 131793657675 in words is "one hundred thirty-one billion, seven hundred ninety-three million, six hundred fifty-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 75 619 1857 3095 9285 15475 46425 2838851 8516553 14194255 42582765 70971275 212913825 1757248769 5271746307 8786243845 26358731535 43931219225 131793657675