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132108641280 = 2103557211197
BaseRepresentation
bin111101100001001001…
…0011110010000000000
3110121222212201022200000
41323002102132100000
54131024303010110
6140405002400000
712354526631400
oct1730222362000
9417885638600
10132108641280
115103297a580
122172ab00000
13c5c49c9975
146573564800
1536830361c0
hex1ec249e400

132108641280 has 1584 divisors, whose sum is σ = 605468799936. Its totient is φ = 27311800320.

The previous prime is 132108641279. The next prime is 132108641297. The reversal of 132108641280 is 82146801231.

132108641280 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 8 + 641 + 2 + 8 + 0 = 666.

132108641280 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 670602142 + ... + 670602338.

It is an arithmetic number, because the mean of its divisors is an integer number (382240404).

Almost surely, 2132108641280 is an apocalyptic number.

132108641280 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 132108641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302734399968).

132108641280 is an abundant number, since it is smaller than the sum of its proper divisors (473360158656).

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

132108641280 is a wasteful number, since it uses less digits than its factorization.

132108641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 132108641280 in words is "one hundred thirty-two billion, one hundred eight million, six hundred forty-one thousand, two hundred eighty".