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132656331525320 = 2355354961932217
BaseRepresentation
bin11110001010011001110101…
…100001001000110011001000
3122101200211011211102011202202
4132022121311201020303020
5114341420131332302240
61150045251041215332
736641050363136021
oct3612316541106310
9571624154364682
10132656331525320
11392a5263891309
1212a65829031548
13590359119a655
1424a885a48dc48
151050a67a5b315
hex78a675848cc8

132656331525320 has 32 divisors (see below), whose sum is σ = 298482324651000. Its totient is φ = 53061540837888.

The previous prime is 132656331525307. The next prime is 132656331525323. The reversal of 132656331525320 is 23525133656231.

It can be written as a sum of positive squares in 4 ways, for example, as 58307549139844 + 74348782385476 = 7635938^2 + 8622574^2 .

It is a super-3 number, since 3×1326563315253203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (132656331525323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28824149 + ... + 33108068.

Almost surely, 2132656331525320 is an apocalyptic number.

132656331525320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132656331525320 is an abundant number, since it is smaller than the sum of its proper divisors (165825993125680).

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

132656331525320 is a wasteful number, since it uses less digits than its factorization.

132656331525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61985777 (or 61985773 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 47.

The spelling of 132656331525320 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, three hundred thirty-one million, five hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53549 107098 214196 267745 428392 535490 1070980 2141960 61932217 123864434 247728868 309661085 495457736 619322170 1238644340 2477288680 3316408288133 6632816576266 13265633152532 16582041440665 26531266305064 33164082881330 66328165762660 132656331525320