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132215704320 = 28357219311193
BaseRepresentation
bin111101100100010101…
…0111000101100000000
3110122021100011200112210
41323020222320230000
54131234210014240
6140423345222120
712360266641500
oct1731052705400
9418240150483
10132215704320
1151088355627
122175a931940
13c610c4428b
146583873a00
15368c633780
hex1ec8ab8b00

132215704320 has 864 divisors, whose sum is σ = 534184519680. Its totient is φ = 27683389440.

The previous prime is 132215704249. The next prime is 132215704363. The reversal of 132215704320 is 23407512231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110825644 + ... + 110826836.

It is an arithmetic number, because the mean of its divisors is an integer number (618269120).

Almost surely, 2132215704320 is an apocalyptic number.

132215704320 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 132215704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267092259840).

132215704320 is an abundant number, since it is smaller than the sum of its proper divisors (401968815360).

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

132215704320 is a wasteful number, since it uses less digits than its factorization.

132215704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 132215704320 in words is "one hundred thirty-two billion, two hundred fifteen million, seven hundred four thousand, three hundred twenty".