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132038664576 = 2737213539797
BaseRepresentation
bin111101011111000011…
…1100010000110000000
3110121211000001010200020
41322332013202012000
54130403344231301
6140354022453440
712353020062600
oct1727607420600
9417730033606
10132038664576
1150aa7424a95
122170b594280
13c5b3368930
14656814ac00
15367bd12436
hex1ebe1e2180

132038664576 has 192 divisors, whose sum is σ = 439373980080. Its totient is φ = 34823319552.

The previous prime is 132038664497. The next prime is 132038664587. The reversal of 132038664576 is 675466830231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25291 + ... + 514506.

Almost surely, 2132038664576 is an apocalyptic number.

132038664576 is a gapful number since it is divisible by the number (16) 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 132038664576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219686990040).

132038664576 is an abundant number, since it is smaller than the sum of its proper divisors (307335315504).

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

132038664576 is a wasteful number, since it uses less digits than its factorization.

132038664576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539841 (or 539822 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 132038664576 in words is "one hundred thirty-two billion, thirty-eight million, six hundred sixty-four thousand, five hundred seventy-six".