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132640255422400 = 26521149115349039
BaseRepresentation
bin11110001010001010110111…
…010011101010111111000000
3122101122021200110101112101111
4132022022313103222333000
5114341134220342004100
61150034031522413104
736636641115413215
oct3612126723527700
9571567613345344
10132640255422400
1139299464297240
1212a626a1201194
135901bcb719b0b
1424a7b7338bb0c
1510504265316ba
hex78a2b74eafc0

132640255422400 has 168 divisors, whose sum is σ = 356773822513920. Its totient is φ = 48134583168000.

The previous prime is 132640255422377. The next prime is 132640255422529. The reversal of 132640255422400 is 4224552046231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967081 + ... + 16316119.

It is an arithmetic number, because the mean of its divisors is an integer number (2123653705440).

Almost surely, 2132640255422400 is an apocalyptic number.

132640255422400 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 132640255422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178386911256960).

132640255422400 is an abundant number, since it is smaller than the sum of its proper divisors (224133567091520).

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

132640255422400 is a wasteful number, since it uses less digits than its factorization.

132640255422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15349563 (or 15349548 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 132640255422400 in words is "one hundred thirty-two trillion, six hundred forty billion, two hundred fifty-five million, four hundred twenty-two thousand, four hundred".