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131737394712 = 233711523136303
BaseRepresentation
bin111101010110000101…
…0010001111000011000
3110121001000011001010010
41322230022101320120
54124244233112322
6140304101321520
712342401244030
oct1725412217030
9417030131103
10131737394712
1150962363530
12216467062a0
13c565b14b41
14653a1268c0
15366065220c
hex1eac291e18

131737394712 has 128 divisors (see below), whose sum is σ = 411398184960. Its totient is φ = 34151829120.

The previous prime is 131737394689. The next prime is 131737394731. The reversal of 131737394712 is 217493737131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898353 + ... + 1034655.

It is an arithmetic number, because the mean of its divisors is an integer number (3214048320).

Almost surely, 2131737394712 is an apocalyptic number.

131737394712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131737394712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205699092480).

131737394712 is an abundant number, since it is smaller than the sum of its proper divisors (279660790248).

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

131737394712 is a wasteful number, since it uses less digits than its factorization.

131737394712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136853 (or 136849 counting only the distinct ones).

The product of its digits is 666792, while the sum is 48.

The spelling of 131737394712 in words is "one hundred thirty-one billion, seven hundred thirty-seven million, three hundred ninety-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 523 616 924 1046 1569 1848 2092 3138 3661 4184 5753 6276 7322 10983 11506 12552 14644 17259 21966 23012 29288 34518 40271 43932 46024 69036 80542 87864 120813 136303 138072 161084 241626 272606 322168 408909 483252 545212 817818 954121 966504 1090424 1499333 1635636 1908242 2862363 2998666 3271272 3816484 4497999 5724726 5997332 7632968 8995998 10495331 11449452 11994664 17991996 20990662 22898904 31485993 35983992 41981324 62971986 71286469 83962648 125943972 142572938 213859407 251887944 285145876 427718814 499005283 570291752 784151159 855437628 998010566 1497015849 1568302318 1710875256 1996021132 2352453477 2994031698 3136604636 3992042264 4704906954 5489058113 5988063396 6273209272 9409813908 10978116226 11976126792 16467174339 18819627816 21956232452 32934348678 43912464904 65868697356 131737394712