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132663674640 = 24357375034243
BaseRepresentation
bin111101110001101011…
…1110000011100010000
3110200102120002221022010
41323203113300130100
54133143400042030
6140540030542520
712404346425430
oct1734327603420
9420376087263
10132663674640
1151298205332
1221864967a40
13c6829b0183
1465c71642c0
1536b6b206b0
hex1ee35f0710

132663674640 has 320 divisors, whose sum is σ = 483785035776. Its totient is φ = 29437986816.

The previous prime is 132663674609. The next prime is 132663674669. The reversal of 132663674640 is 46476366231.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132663674640.

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 63 ways as a sum of consecutive naturals, for example, 31264359 + ... + 31268601.

Almost surely, 2132663674640 is an apocalyptic number.

132663674640 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 132663674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241892517888).

132663674640 is an abundant number, since it is smaller than the sum of its proper divisors (351121361136).

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

132663674640 is a wasteful number, since it uses less digits than its factorization.

132663674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 132663674640 in words is "one hundred thirty-two billion, six hundred sixty-three million, six hundred seventy-four thousand, six hundred forty".