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132732465817120 = 255136716335316553
BaseRepresentation
bin11110001011100000101111…
…011110011010011000100000
3122101222002200202111221000221
4132023200233132122120200
5114344142042222121440
61150144241503252424
736646414145011231
oct3613405736323040
9571862622457027
10132732465817120
1139324582697624
1212a785362aa114
13590a80546cb60
1424ac3dda71088
151052a2197ed4a
hex78b82f79a620

132732465817120 has 384 divisors, whose sum is σ = 345842856140544. Its totient is φ = 47842438938624.

The previous prime is 132732465817117. The next prime is 132732465817141. The reversal of 132732465817120 is 21718564237231.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8018626764 + ... + 8018643316.

It is an arithmetic number, because the mean of its divisors is an integer number (900632437866).

Almost surely, 2132732465817120 is an apocalyptic number.

132732465817120 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 132732465817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172921428070272).

132732465817120 is an abundant number, since it is smaller than the sum of its proper divisors (213110390323424).

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

132732465817120 is a wasteful number, since it uses less digits than its factorization.

132732465817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17164 (or 17156 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 132732465817120 in words is "one hundred thirty-two trillion, seven hundred thirty-two billion, four hundred sixty-five million, eight hundred seventeen thousand, one hundred twenty".