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131963506389 = 321113983104309
BaseRepresentation
bin111101011100110100…
…0110100111011010101
3110121121202121201000200
41322321220310323111
54130230124201024
6140342335531113
712351115203531
oct1727150647325
9417552551020
10131963506389
1150a68a60590
12216aa389a99
13c5a0912330
14655c184bc1
1536754182c9
hex1eb9a34ed5

131963506389 has 48 divisors (see below), whose sum is σ = 224168031360. Its totient is φ = 73749928320.

The previous prime is 131963506351. The next prime is 131963506421. The reversal of 131963506389 is 983605369131.

131963506389 is a `hidden beast` number, since 13 + 1 + 96 + 3 + 506 + 38 + 9 = 666.

It is not a de Polignac number, because 131963506389 - 27 = 131963506261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131963505389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1212967 + ... + 1317275.

It is an arithmetic number, because the mean of its divisors is an integer number (4670167320).

Almost surely, 2131963506389 is an apocalyptic number.

It is an amenable number.

131963506389 is a deficient number, since it is larger than the sum of its proper divisors (92204524971).

131963506389 is a wasteful number, since it uses less digits than its factorization.

131963506389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105322 (or 105319 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 131963506389 in words is "one hundred thirty-one billion, nine hundred sixty-three million, five hundred six thousand, three hundred eighty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 983 1287 2949 8847 10813 12779 32439 38337 97317 104309 115011 140569 312927 421707 938781 1147399 1265121 1356017 3442197 4068051 10326591 12204153 14916187 44748561 102535747 134245683 307607241 922821723 1127893217 1332964711 3383679651 3998894133 10151038953 11996682399 14662611821 43987835463 131963506389