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132566614453440 = 263251729415342967
BaseRepresentation
bin11110001001000110010001…
…111101101010110011000000
3122101101020121021220201001200
4132021012101331222303000
5114333432411300002230
61145540132325101200
736631423200456546
oct3611062175526300
9571336537821050
10132566614453440
1139270204944312
1212a5036ab57800
1358c7c93b7977b
1424a4388d9dd96
15104d56646a160
hex789191f6acc0

132566614453440 has 1344 divisors, whose sum is σ = 521291055317760. Its totient is φ = 30748751953920.

The previous prime is 132566614453337. The next prime is 132566614453451. The reversal of 132566614453440 is 44354416665231.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3085290837 + ... + 3085333803.

It is an arithmetic number, because the mean of its divisors is an integer number (387865368540).

Almost surely, 2132566614453440 is an apocalyptic number.

132566614453440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132566614453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260645527658880).

132566614453440 is an abundant number, since it is smaller than the sum of its proper divisors (388724440864320).

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

132566614453440 is a wasteful number, since it uses less digits than its factorization.

132566614453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43130 (or 43117 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 132566614453440 in words is "one hundred thirty-two trillion, five hundred sixty-six billion, six hundred fourteen million, four hundred fifty-three thousand, four hundred forty".