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132873608887425 = 32527229415587173
BaseRepresentation
bin11110001101100100001100…
…010000011111110010000001
3122102110121000021002210110100
4132031210030100133302001
5114404000122333344200
61150333143201153013
736662541616220100
oct3615441420376201
9572417007083410
10132873608887425
113937942123336a
1212a9b96692b769
13591ac09ab29c3
1424b518d010037
151056532be3d00
hex78d90c41fc81

132873608887425 has 108 divisors (see below), whose sum is σ = 286393589218620. Its totient is φ = 58647661712640.

The previous prime is 132873608887421. The next prime is 132873608887457. The reversal of 132873608887425 is 524788806378231.

132873608887425 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 7 + 3 + 608 + 8 + 8 + 7 + 4 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6938888467329 + 125934720420096 = 2634177^2 + 11222064^2 .

It is not a de Polignac number, because 132873608887425 - 22 = 132873608887421 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132873608887421) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 207473862 + ... + 208113311.

It is an arithmetic number, because the mean of its divisors is an integer number (2651792492765).

Almost surely, 2132873608887425 is an apocalyptic number.

132873608887425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132873608887425 is an abundant number, since it is smaller than the sum of its proper divisors (153519980331195).

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

132873608887425 is a wasteful number, since it uses less digits than its factorization.

132873608887425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415587232 (or 415587217 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 132873608887425 in words is "one hundred thirty-two trillion, eight hundred seventy-three billion, six hundred eight million, eight hundred eighty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 49 63 75 87 105 145 147 175 203 225 245 261 315 435 441 525 609 725 735 1015 1225 1305 1421 1575 1827 2175 2205 3045 3675 4263 5075 6525 7105 9135 11025 12789 15225 21315 35525 45675 63945 106575 319725 415587173 1246761519 2077935865 2909110211 3740284557 6233807595 8727330633 10389679325 12052028017 14545551055 18701422785 20363771477 26181991899 31169037975 36156084051 43636653165 60260140085 61091314431 72727755275 84364196119 93507113925 101818857385 108468252153 130909959495 180780420255 183273943293 218183265825 253092588357 301300700425 305456572155 421820980595 509094286925 542341260765 590549372833 654549797475 759277765071 903902101275 916369716465 1265462941785 1527282860775 1771648118499 2109104902975 2711706303825 2952746864165 3796388825355 4581848582325 5314944355497 6327314708925 8858240592495 14763734320825 18981944126775 26574721777485 44291202962475 132873608887425