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132996131512320 = 213353121975717
BaseRepresentation
bin11110001111010110010011…
…001011001110000000000000
3122102220022021002001000202110
4132033112103023032000000
5114413002034131343240
61150505325050215320
740004440056312036
oct3617262313160000
9572808232030673
10132996131512320
113941638504494a
1212abb65b424540
1359296347bb60b
1424bb0933b6556
151059804393c80
hex78f5932ce000

132996131512320 has 672 divisors, whose sum is σ = 442041722695584. Its totient is φ = 34141388144640.

The previous prime is 132996131512319. The next prime is 132996131512333. The reversal of 132996131512320 is 23215131699231.

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 132996131512320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23263270102 + ... + 23263275818.

Almost surely, 2132996131512320 is an apocalyptic number.

132996131512320 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 132996131512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221020861347792).

132996131512320 is an abundant number, since it is smaller than the sum of its proper divisors (309045591183264).

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

132996131512320 is an equidigital number, since it uses as much as digits as its factorization.

132996131512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 132996131512320 in words is "one hundred thirty-two trillion, nine hundred ninety-six billion, one hundred thirty-one million, five hundred twelve thousand, three hundred twenty".