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132427278912 = 26317415318671
BaseRepresentation
bin111101101010101000…
…1111110101001000000
3110122211002021210022210
41323111101332221000
54132202340411122
6140500344102120
712365446204155
oct1732521765100
9418732253283
10132427278912
1151186823765
12217b9764940
13c645a21a46
1465a39ca22c
1536a0ec740c
hex1ed547ea40

132427278912 has 224 divisors, whose sum is σ = 387230989824. Its totient is φ = 39765606400.

The previous prime is 132427278883. The next prime is 132427279001. The reversal of 132427278912 is 219872724231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7083337 + ... + 7102007.

It is an arithmetic number, because the mean of its divisors is an integer number (1728709776).

Almost surely, 2132427278912 is an apocalyptic number.

132427278912 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 132427278912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193615494912).

132427278912 is an abundant number, since it is smaller than the sum of its proper divisors (254803710912).

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

132427278912 is a wasteful number, since it uses less digits than its factorization.

132427278912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18797 (or 18787 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 132427278912 in words is "one hundred thirty-two billion, four hundred twenty-seven million, two hundred seventy-eight thousand, nine hundred twelve".