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131172676785 = 3252914948373
BaseRepresentation
bin111101000101010000…
…0000011010010110001
3110112120122112101202100
41322022200003102301
54122120201124120
6140132045411013
712322403233053
oct1721240032261
9415518471670
10131172676785
11506a26135a7
1221509569a69
13c4a5b20517
1464c51258d3
15362aca3490
hex1e8a8034b1

131172676785 has 12 divisors (see below), whose sum is σ = 227365973172. Its totient is φ = 69958760928.

The previous prime is 131172676763. The next prime is 131172676793. The reversal of 131172676785 is 587676271131.

131172676785 is a `hidden beast` number, since 1 + 311 + 7 + 267 + 67 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15866929296 + 115305747489 = 125964^2 + 339567^2 .

It is not a de Polignac number, because 131172676785 - 214 = 131172660401 is a prime.

It is a super-2 number, since 2×1311726767852 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457474142 + ... + 1457474231.

It is an arithmetic number, because the mean of its divisors is an integer number (18947164431).

Almost surely, 2131172676785 is an apocalyptic number.

131172676785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131172676785 is a deficient number, since it is larger than the sum of its proper divisors (96193296387).

131172676785 is a wasteful number, since it uses less digits than its factorization.

131172676785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914948384 (or 2914948381 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 131172676785 in words is "one hundred thirty-one billion, one hundred seventy-two million, six hundred seventy-six thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 15 45 2914948373 8744845119 14574741865 26234535357 43724225595 131172676785