Search a number
-
+
131272433047647 = 32591931280919109
BaseRepresentation
bin11101110110010000111110…
…101111011001100001011111
3122012210112002120021110112200
4131312100332233121201133
5114201231420330011042
61143105420114102543
736436056160151523
oct3566207657314137
9565715076243480
10131272433047647
1138911365210071
121288158827aa53
135832c253a43a8
14245b8964c1d83
151029a6d297c4c
hex77643ebd985f

131272433047647 has 24 divisors (see below), whose sum is σ = 193828679725200. Its totient is φ = 85585891120128.

The previous prime is 131272433047643. The next prime is 131272433047727. The reversal of 131272433047647 is 746740334272131.

131272433047647 is a `hidden beast` number, since 1 + 3 + 1 + 27 + 243 + 304 + 76 + 4 + 7 = 666.

It is not a de Polignac number, because 131272433047647 - 22 = 131272433047643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131272433047593 and 131272433047602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131272433047643) 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 23 ways as a sum of consecutive naturals, for example, 640357072 + ... + 640562037.

It is an arithmetic number, because the mean of its divisors is an integer number (8076194988550).

Almost surely, 2131272433047647 is an apocalyptic number.

131272433047647 is a deficient number, since it is larger than the sum of its proper divisors (62556246677553).

131272433047647 is a wasteful number, since it uses less digits than its factorization.

131272433047647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280919367 (or 1280919364 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 131272433047647 in words is "one hundred thirty-one trillion, two hundred seventy-two billion, four hundred thirty-three million, forty-seven thousand, six hundred forty-seven".

Divisors: 1 3 9 59 177 193 531 579 1737 11387 34161 102483 1280919109 3842757327 11528271981 75574227431 226722682293 247217388037 680168046879 741652164111 2224956492333 14585825894183 43757477682549 131272433047647