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132415504125 = 3533113186951
BaseRepresentation
bin111101101010010010…
…1000011111011111101
3110122210021010120100120
41323110211003323331
54132141332113000
6140455243445153
712365244133302
oct1732445037375
9418707116316
10132415504125
1151180111133
12217b58267b9
13c64345b408
1465a22030a9
15369ee4d6a0
hex1ed4943efd

132415504125 has 64 divisors (see below), whose sum is σ = 229185994752. Its totient is φ = 67821000000.

The previous prime is 132415504103. The next prime is 132415504127. The reversal of 132415504125 is 521405514231.

It is not a de Polignac number, because 132415504125 - 217 = 132415373053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132415504127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479400 + ... + 1566350.

It is an arithmetic number, because the mean of its divisors is an integer number (3581031168).

Almost surely, 2132415504125 is an apocalyptic number.

132415504125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132415504125 is a deficient number, since it is larger than the sum of its proper divisors (96770490627).

132415504125 is a wasteful number, since it uses less digits than its factorization.

132415504125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87131 (or 87121 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 132415504125 in words is "one hundred thirty-two billion, four hundred fifteen million, five hundred four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 125 131 155 375 393 465 655 775 1965 2325 3275 3875 4061 9825 11625 12183 16375 20305 49125 60915 86951 101525 260853 304575 434755 507625 1304265 1522875 2173775 2695481 6521325 8086443 10868875 11390581 13477405 32606625 34171743 40432215 56952905 67387025 170858715 202161075 284764525 336935125 353108011 854293575 1010805375 1059324033 1423822625 1765540055 4271467875 5296620165 8827700275 26483100825 44138501375 132415504125