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132732027648 = 283611194183
BaseRepresentation
bin111101110011101110…
…0100000001100000000
3110200121022201122000000
41323213130200030000
54133313344341043
6140550512000000
712406136422353
oct1734734401400
9420538648000
10132732027648
1151322850a20
1221883830000
13c693bc313c
1465d227829a
1536bcb232d3
hex1ee7720300

132732027648 has 1008 divisors, whose sum is σ = 472912594560. Its totient is φ = 36727603200.

The previous prime is 132732027599. The next prime is 132732027653. The reversal of 132732027648 is 846720237231.

132732027648 is a `hidden beast` number, since 13 + 2 + 7 + 320 + 276 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1599181015 + ... + 1599181097.

It is an arithmetic number, because the mean of its divisors is an integer number (469159320).

Almost surely, 2132732027648 is an apocalyptic number.

132732027648 is a gapful number since it is divisible by the number (18) 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 132732027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236456297280).

132732027648 is an abundant number, since it is smaller than the sum of its proper divisors (340180566912).

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

132732027648 is an equidigital number, since it uses as much as digits as its factorization.

132732027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 132732027648 in words is "one hundred thirty-two billion, seven hundred thirty-two million, twenty-seven thousand, six hundred forty-eight".