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132396664320 = 29365611163
BaseRepresentation
bin111101101001101110…
…1001100011000000000
3110122201221200102000000
41323103131030120000
54132122021224240
6140453332000000
712364625035614
oct1732335143000
9418657612000
10132396664320
1151170513548
12217ab460000
13c63c5930bb
14659d8db344
15369d47b430
hex1ed374c600

132396664320 has 560 divisors, whose sum is σ = 484163132112. Its totient is φ = 34697134080.

The previous prime is 132396664319. The next prime is 132396664331. The reversal of 132396664320 is 23466693231.

It is a super-2 number, since 2×1323966643202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 113840059 + ... + 113841221.

Almost surely, 2132396664320 is an apocalyptic number.

132396664320 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 132396664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242081566056).

132396664320 is an abundant number, since it is smaller than the sum of its proper divisors (351766467792).

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

132396664320 is an frugal number, since it uses more digits than its factorization.

132396664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 132396664320 in words is "one hundred thirty-two billion, three hundred ninety-six million, six hundred sixty-four thousand, three hundred twenty".