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132112320192 = 2633294164301
BaseRepresentation
bin111101100001010000…
…0100000011011000000
3110122000010122020012000
41323002200200123000
54131031223221232
6140405213304000
712354603123156
oct1730240403300
9418003566160
10132112320192
1151034a625a6
1221730195000
13c5c56b7338
146573c413d6
15368351127c
hex1ec28206c0

132112320192 has 224 divisors, whose sum is σ = 411584241600. Its totient is φ = 41481216000.

The previous prime is 132112320191. The next prime is 132112320199. The reversal of 132112320192 is 291023211231.

132112320192 is a `hidden beast` number, since 1 + 321 + 1 + 2 + 320 + 19 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132112320191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022442 + ... + 2086742.

It is an arithmetic number, because the mean of its divisors is an integer number (1837429650).

Almost surely, 2132112320192 is an apocalyptic number.

132112320192 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 132112320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205792120800).

132112320192 is an abundant number, since it is smaller than the sum of its proper divisors (279471921408).

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

132112320192 is a wasteful number, since it uses less digits than its factorization.

132112320192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64392 (or 64376 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 132112320192 in words is "one hundred thirty-two billion, one hundred twelve million, three hundred twenty thousand, one hundred ninety-two".