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132651000000 = 263356173
BaseRepresentation
bin111101110001010011…
…1011010000011000000
3110200101200020222222000
41323202213122003000
54133132124000000
6140534455144000
712404133616221
oct1734247320300
9420350228860
10132651000000
1151291038722
1221860675000
13c68019309c
1465c55c5248
1536b596a000
hex1ee29da0c0

132651000000 has 784 divisors, whose sum is σ = 517915245600. Its totient is φ = 33292800000.

The previous prime is 132650999969. The next prime is 132651000023. The reversal of 132651000000 is 156231.

The cubic root of 132651000000 is 5100.

It is a perfect power (a cube), and thus also a powerful number.

132651000000 is a `hidden beast` number, since 13 + 2 + 651 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7802999992 + ... + 7803000008.

Almost surely, 2132651000000 is an apocalyptic number.

132651000000 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 132651000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258957622800).

132651000000 is an abundant number, since it is smaller than the sum of its proper divisors (385264245600).

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

132651000000 is an frugal number, since it uses more digits than its factorization.

132651000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 132651000000 its reverse (156231), we get a palindrome (132651156231).

The spelling of 132651000000 in words is "one hundred thirty-two billion, six hundred fifty-one million", and thus it is an aban number.