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131366456406 = 23231235423757
BaseRepresentation
bin111101001011000001…
…1010000110001010110
3110120002011011102102100
41322112003100301112
54123014303101111
6140203211022530
712330245312163
oct1722603206126
9416064142370
10131366456406
1150791a38049
122156243aa46
13c50700a413
146502b6906a
15363ccce756
hex1e960d0c56

131366456406 has 24 divisors (see below), whose sum is σ = 293808849984. Its totient is φ = 42376276080.

The previous prime is 131366456401. The next prime is 131366456413. The reversal of 131366456406 is 604654663131.

131366456406 is a `hidden beast` number, since 1 + 3 + 136 + 64 + 56 + 406 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131366456401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117711321 + ... + 117712436.

It is an arithmetic number, because the mean of its divisors is an integer number (12242035416).

Almost surely, 2131366456406 is an apocalyptic number.

131366456406 is an abundant number, since it is smaller than the sum of its proper divisors (162442393578).

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

131366456406 is a wasteful number, since it uses less digits than its factorization.

131366456406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235423796 (or 235423793 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 131366456406 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred fifty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 235423757 470847514 706271271 1412542542 2118813813 4237627626 7298136467 14596272934 21894409401 43788818802 65683228203 131366456406