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132330223872 = 28327111722989
BaseRepresentation
bin111101100111101111…
…1101111100100000000
3110122120022122212211200
41323033133233210000
54132003014130442
6140442555541200
712363160225650
oct1731737574400
9418508585750
10132330223872
1151136a63890
122179115a800
13c62b89c822
146594b64360
15369770534c
hex1ecf7ef900

132330223872 has 1296 divisors, whose sum is σ = 528612739200. Its totient is φ = 30883184640.

The previous prime is 132330223871. The next prime is 132330223873. The reversal of 132330223872 is 278322033231.

132330223872 is a `hidden beast` number, since 1 + 32 + 330 + 223 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (132330223871) and next prime (132330223873).

It is a super-2 number, since 2×1323302238722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132330223871) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1486856404 + ... + 1486856492.

It is an arithmetic number, because the mean of its divisors is an integer number (407880200).

Almost surely, 2132330223872 is an apocalyptic number.

132330223872 is a gapful number since it is divisible by the number (12) 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 132330223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264306369600).

132330223872 is an abundant number, since it is smaller than the sum of its proper divisors (396282515328).

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

132330223872 is a wasteful number, since it uses less digits than its factorization.

132330223872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 132330223872 in words is "one hundred thirty-two billion, three hundred thirty million, two hundred twenty-three thousand, eight hundred seventy-two".