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131668620876 = 223313143965171
BaseRepresentation
bin111101010100000001…
…1111011011001001100
3110120212012201222011000
41322220003323121030
54124124131332001
6140253203300300
712340604545152
oct1725003733114
9416765658130
10131668620876
115092755a751
122162767a690
13c5547b5470
146530d433d2
1536595b9a86
hex1ea80fb64c

131668620876 has 96 divisors (see below), whose sum is σ = 367882905600. Its totient is φ = 40484646720.

The previous prime is 131668620749. The next prime is 131668620883. The reversal of 131668620876 is 678026866131.

131668620876 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 6 + 8 + 620 + 8 + 7 + 6 = 666.

131668620876 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 1987771 + ... + 2052941.

It is an arithmetic number, because the mean of its divisors is an integer number (3832113600).

Almost surely, 2131668620876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131668620876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183941452800).

131668620876 is an abundant number, since it is smaller than the sum of its proper divisors (236214284724).

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

131668620876 is a wasteful number, since it uses less digits than its factorization.

131668620876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66636 (or 66628 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131668620876 in words is "one hundred thirty-one billion, six hundred sixty-eight million, six hundred twenty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1439 2878 4317 5756 8634 12951 17268 18707 25902 37414 38853 51804 56121 65171 74828 77706 112242 130342 155412 168363 195513 224484 260684 336726 391026 505089 586539 673452 782052 847223 1010178 1173078 1694446 1759617 2020356 2346156 2541669 3388892 3519234 5083338 7038468 7625007 10166676 15250014 22875021 30500028 45750042 91500084 93781069 187562138 281343207 375124276 562686414 844029621 1125372828 1219153897 1688059242 2438307794 2532088863 3376118484 3657461691 4876615588 5064177726 7314923382 10128355452 10972385073 14629846764 21944770146 32917155219 43889540292 65834310438 131668620876