Search a number
-
+
131727571768668 = 22326177419348957
BaseRepresentation
bin11101111100111000110111…
…000111110101010101011100
3122021102000212222002002012010
4131330320313013311111130
5114231211031333044133
61144054451104311220
736514001012355321
oct3574706707652534
9567360788062163
10131727571768668
1138a77393150697
1212935829312510
135866b1a291175
142475911666b48
15103680a740263
hex77ce371f555c

131727571768668 has 24 divisors (see below), whose sum is σ = 307376076630672. Its totient is φ = 43907513089024.

The previous prime is 131727571768657. The next prime is 131727571768669. The reversal of 131727571768668 is 866867175727131.

It is a self number, because there is not a number n which added to its sum of digits gives 131727571768668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131727571768669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209360355 + ... + 209988602.

It is an arithmetic number, because the mean of its divisors is an integer number (12807336526278).

Almost surely, 2131727571768668 is an apocalyptic number.

It is an amenable number.

131727571768668 is an abundant number, since it is smaller than the sum of its proper divisors (175648504862004).

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

131727571768668 is a wasteful number, since it uses less digits than its factorization.

131727571768668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419375141 (or 419375139 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 75.

The spelling of 131727571768668 in words is "one hundred thirty-one trillion, seven hundred twenty-seven billion, five hundred seventy-one million, seven hundred sixty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 26177 52354 78531 104708 157062 314124 419348957 838697914 1258046871 1677395828 2516093742 5032187484 10977297647389 21954595294778 32931892942167 43909190589556 65863785884334 131727571768668