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131324463774 = 232710091032961
BaseRepresentation
bin111101001001110001…
…1000100101010011110
3110112222020010222100200
41322103203010222132
54122423030320044
6140155111004330
712326225344530
oct1722343045236
9415866128320
10131324463774
1150770266399
12215503696a6
13c4cb3c68ca
1464db357850
153639287369
hex1e938c4a9e

131324463774 has 48 divisors (see below), whose sum is σ = 325506985440. Its totient is φ = 37484052480.

The previous prime is 131324463757. The next prime is 131324463887. The reversal of 131324463774 is 477364423131.

131324463774 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 4 + 4 + 637 + 7 + 4 = 666.

It is a super-2 number, since 2×1313244637742 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389347 + ... + 643614.

It is an arithmetic number, because the mean of its divisors is an integer number (6781395530).

Almost surely, 2131324463774 is an apocalyptic number.

131324463774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131324463774 is an abundant number, since it is smaller than the sum of its proper divisors (194182521666).

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

131324463774 is a wasteful number, since it uses less digits than its factorization.

131324463774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033985 (or 1033982 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 131324463774 in words is "one hundred thirty-one billion, three hundred twenty-four million, four hundred sixty-three thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1009 2018 3027 6054 7063 9081 14126 18162 21189 42378 63567 127134 1032961 2065922 3098883 6197766 7230727 9296649 14461454 18593298 21692181 43384362 65076543 130153086 1042257649 2084515298 3126772947 6253545894 7295803543 9380318841 14591607086 18760637682 21887410629 43774821258 65662231887 131324463774