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132187410432 = 2123371119243
BaseRepresentation
bin111101100011011111…
…0111101000000000000
3110122012100221012122000
41323012332331000000
54131204434113212
6140420454544000
712356504310150
oct1730676750000
9418170835560
10132187410432
115107338aa50
1221751368000
13c608118a2c
14657dbca760
153689de51dc
hex1ec6fbd000

132187410432 has 1248 divisors, whose sum is σ = 527285468160. Its totient is φ = 31770869760.

The previous prime is 132187410427. The next prime is 132187410437. The reversal of 132187410432 is 234014781231.

132187410432 is a `hidden beast` number, since 1 + 3 + 2 + 187 + 41 + 0 + 432 = 666.

132187410432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132187410427) and next prime (132187410437).

It is a super-2 number, since 2×1321874104322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132187410437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3074125803 + ... + 3074125845.

Almost surely, 2132187410432 is an apocalyptic number.

132187410432 is a gapful number since it is divisible by the number (12) 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 132187410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263642734080).

132187410432 is an abundant number, since it is smaller than the sum of its proper divisors (395098057728).

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

132187410432 is a wasteful number, since it uses less digits than its factorization.

132187410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 132187410432 in words is "one hundred thirty-two billion, one hundred eighty-seven million, four hundred ten thousand, four hundred thirty-two".