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132112747591200 = 253552171931671013
BaseRepresentation
bin11110000010011111100101…
…011000111111011000100000
3122022202212002112100012200000
4132002133211120333120200
5114304013401340404300
61144551431451100000
736553555021006125
oct3602374530773040
9568685075305600
10132112747591200
1139105779930052
1212998403a41600
135894242623a5c
14248a410ad274c
1510418509a4c00
hex7827e563f620

132112747591200 has 3456 divisors, whose sum is σ = 564680738119680. Its totient is φ = 29915976499200.

The previous prime is 132112747591147. The next prime is 132112747591273. The reversal of 132112747591200 is 2195747211231.

132112747591200 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 12 + 7 + 47 + 591 + 2 + 0 + 0 = 666.

132112747591200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321127475912002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130417321894 + ... + 130417322906.

It is an arithmetic number, because the mean of its divisors is an integer number (163391417280).

Almost surely, 2132112747591200 is an apocalyptic number.

132112747591200 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 132112747591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282340369059840).

132112747591200 is an abundant number, since it is smaller than the sum of its proper divisors (432567990528480).

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

132112747591200 is a wasteful number, since it uses less digits than its factorization.

132112747591200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 132112747591200 in words is "one hundred thirty-two trillion, one hundred twelve billion, seven hundred forty-seven million, five hundred ninety-one thousand, two hundred".