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132195922320 = 243571129972543
BaseRepresentation
bin111101100011101111…
…1011011000110010000
3110122012221221122202010
41323013133123012100
54131214124003240
6140421401222520
712356636541150
oct1730737330620
9418187848663
10132195922320
1151078174070
1221754191a40
13c609b09157
146580da4760
15368aa27280
hex1ec77db190

132195922320 has 640 divisors, whose sum is σ = 534205808640. Its totient is φ = 26238320640.

The previous prime is 132195922307. The next prime is 132195922333. The reversal of 132195922320 is 23229591231.

It is an interprime number because it is at equal distance from previous prime (132195922307) and next prime (132195922333).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51982969 + ... + 51985511.

It is an arithmetic number, because the mean of its divisors is an integer number (834696576).

Almost surely, 2132195922320 is an apocalyptic number.

132195922320 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 132195922320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267102904320).

132195922320 is an abundant number, since it is smaller than the sum of its proper divisors (402009886320).

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

132195922320 is a wasteful number, since it uses less digits than its factorization.

132195922320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 132195922320 in words is "one hundred thirty-two billion, one hundred ninety-five million, nine hundred twenty-two thousand, three hundred twenty".