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132542373457845 = 3451341614005853
BaseRepresentation
bin11110001000101111101101…
…000101100110111110110101
3122101021221000220012112120000
4132020233231011212332311
5114333033240101122340
61145521043100301513
736626604400426161
oct3610575505467665
9571257026175500
10132542373457845
11392609a549855a
1212a47724841899
1358c58cc9713b0
1424a312974dca1
15104cae8222d30
hex788bed166fb5

132542373457845 has 80 divisors (see below), whose sum is σ = 262111731002352. Its totient is φ = 63660126735360.

The previous prime is 132542373457829. The next prime is 132542373457849. The reversal of 132542373457845 is 548754373245231.

132542373457845 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 4 + 23 + 7 + 34 + 578 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70985309377284 + 61557064080561 = 8425278^2 + 7845831^2 .

It is not a de Polignac number, because 132542373457845 - 24 = 132542373457829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132542373457849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306787062 + ... + 307218791.

Almost surely, 2132542373457845 is an apocalyptic number.

132542373457845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132542373457845 is a deficient number, since it is larger than the sum of its proper divisors (129569357544507).

132542373457845 is a wasteful number, since it uses less digits than its factorization.

132542373457845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614005924 (or 614005915 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 63.

The spelling of 132542373457845 in words is "one hundred thirty-two trillion, five hundred forty-two billion, three hundred seventy-three million, four hundred fifty-seven thousand, eight hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 41 45 65 81 117 123 135 195 205 351 369 405 533 585 615 1053 1107 1599 1755 1845 2665 3321 4797 5265 5535 7995 14391 16605 23985 43173 71955 215865 614005853 1842017559 3070029265 5526052677 7982076089 9210087795 16578158031 23946228267 25174239973 27630263385 39910380445 49734474093 71838684801 75522719919 82890790155 119731141335 125871199865 215516054403 226568159757 248672370465 327265119649 359193424005 377613599595 646548163209 679704479271 981795358947 1077580272015 1132840798785 1636325598245 2039113437813 2945386076841 3232740816045 3398522396355 4908976794735 8836158230523 10195567189065 14726930384205 26508474691569 44180791152615 132542373457845