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131329645596 = 22336439471997
BaseRepresentation
bin111101001001111011…
…0110101110000011100
3110112222120220020111000
41322103312311300130
54122430342124341
6140155414030300
712326320366062
oct1722366656034
9415876806430
10131329645596
1150773185596
1221552048390
13c4cc4bc386
1464dbd06032
15363995c8b6
hex1e93db5c1c

131329645596 has 96 divisors (see below), whose sum is σ = 341544833280. Its totient is φ = 43640448192.

The previous prime is 131329645591. The next prime is 131329645627. The reversal of 131329645596 is 695546923131.

131329645596 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 9 + 6 + 45 + 596 = 666.

131329645596 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5248800) is a multiple of the sum of its prime factors (3600).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131329645591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65762470 + ... + 65764466.

It is an arithmetic number, because the mean of its divisors is an integer number (3557758680).

Almost surely, 2131329645596 is an apocalyptic number.

It is an amenable number.

131329645596 is an abundant number, since it is smaller than the sum of its proper divisors (210215187684).

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

131329645596 is a wasteful number, since it uses less digits than its factorization.

131329645596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3592 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 131329645596 in words is "one hundred thirty-one billion, three hundred twenty-nine million, six hundred forty-five thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 643 947 1286 1894 1929 1997 2572 2841 3788 3858 3994 5682 5787 5991 7716 7988 8523 11364 11574 11982 17046 17361 17973 23148 23964 25569 34092 34722 35946 51138 53919 69444 71892 102276 107838 215676 608921 1217842 1284071 1826763 1891159 2435684 2568142 3653526 3782318 3852213 5136284 5480289 5673477 7307052 7564636 7704426 10960578 11346954 11556639 15408852 16440867 17020431 21921156 22693908 23113278 32881734 34040862 34669917 46226556 51061293 65763468 68081724 69339834 102122586 138679668 204245172 1216015237 2432030474 3648045711 4864060948 7296091422 10944137133 14592182844 21888274266 32832411399 43776548532 65664822798 131329645596