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132656524126056 = 233271943249115259
BaseRepresentation
bin11110001010011010000000…
…111111110110011101101000
3122101200211200020211022022100
4132022122000333312131220
5114341421030134013211
61150045322121253400
736641055222205140
oct3612320077663550
9571624606738270
10132656524126056
11392a5352580077
1212a65881634260
1359035c2063a98
1424a8877ca7920
151050a79903156
hex78a680ff6768

132656524126056 has 576 divisors, whose sum is σ = 443429767872000. Its totient is φ = 34998258435840.

The previous prime is 132656524125947. The next prime is 132656524126097. The reversal of 132656524126056 is 650621425656231.

132656524126056 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 6 + 5 + 24 + 1 + 2 + 605 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132656524125993 and 132656524126011.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8693650155 + ... + 8693665413.

It is an arithmetic number, because the mean of its divisors is an integer number (769843347000).

Almost surely, 2132656524126056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132656524126056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221714883936000).

132656524126056 is an abundant number, since it is smaller than the sum of its proper divisors (310773243745944).

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

132656524126056 is a wasteful number, since it uses less digits than its factorization.

132656524126056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 132656524126056 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, five hundred twenty-four million, one hundred twenty-six thousand, fifty-six".