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131366434761 = 3251192851391
BaseRepresentation
bin111101001011000001…
…1001011011111001001
3110120002011010022201200
41322112003023133021
54123014301403021
6140203210334413
712330245162112
oct1722603133711
9416064108650
10131366434761
1150791a22861
122156242a409
13c507000603
146502b61209
15363ccc8126
hex1e960cb7c9

131366434761 has 12 divisors (see below), whose sum is σ = 189788651520. Its totient is φ = 87560484120.

The previous prime is 131366434751. The next prime is 131366434807. The reversal of 131366434761 is 167434663131.

It is a happy number.

131366434761 is a `hidden beast` number, since 1 + 3 + 136 + 6 + 43 + 476 + 1 = 666.

It is not a de Polignac number, because 131366434761 - 218 = 131366172617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131366434751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1379625 + ... + 1471766.

It is an arithmetic number, because the mean of its divisors is an integer number (15815720960).

Almost surely, 2131366434761 is an apocalyptic number.

It is an amenable number.

131366434761 is a deficient number, since it is larger than the sum of its proper divisors (58422216759).

131366434761 is a wasteful number, since it uses less digits than its factorization.

131366434761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856516 (or 2856513 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 131366434761 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred thirty-four thousand, seven hundred sixty-one".

Divisors: 1 3 9 5119 15357 46071 2851391 8554173 25662519 14596270529 43788811587 131366434761