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132542504253 = 342480965957
BaseRepresentation
bin111101101110000100…
…1100001110100111101
3110200010010002211210000
41323130021201310331
54132421340114003
6140520021504513
712401345461125
oct1733411416475
9420103084700
10132542504253
1151235874215
1221830272139
13c663866613
1465b5021c85
1536ab1881a3
hex1edc261d3d

132542504253 has 20 divisors (see below), whose sum is σ = 198006575580. Its totient is φ = 88356768192.

The previous prime is 132542504231. The next prime is 132542504261. The reversal of 132542504253 is 352405245231.

132542504253 is a `hidden beast` number, since 13 + 2 + 542 + 50 + 4 + 2 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95924620089 + 36617884164 = 309717^2 + 191358^2 .

It is not a de Polignac number, because 132542504253 - 26 = 132542504189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132542504293) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1976551 + ... + 2042507.

It is an arithmetic number, because the mean of its divisors is an integer number (9900328779).

Almost surely, 2132542504253 is an apocalyptic number.

It is an amenable number.

132542504253 is a deficient number, since it is larger than the sum of its proper divisors (65464071327).

132542504253 is an equidigital number, since it uses as much as digits as its factorization.

132542504253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90778 (or 90769 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 132542504253 its reverse (352405245231), we get a palindrome (484947749484).

The spelling of 132542504253 in words is "one hundred thirty-two billion, five hundred forty-two million, five hundred four thousand, two hundred fifty-three".

Divisors: 1 3 9 27 81 24809 65957 74427 197871 223281 593613 669843 1780839 2009529 5342517 1636327213 4908981639 14726944917 44180834751 132542504253