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133299192320 = 295721723677
BaseRepresentation
bin111110000100101000…
…0000100001000000000
3110202001211221120122222
41330021100010020000
54140444043123240
6141123052150212
712426164303600
oct1741120041000
9422054846588
10133299192320
1151593a12158
1221a01768368
13c754563338
146647714c00
153702806eb5
hex1f09404200

133299192320 has 360 divisors, whose sum is σ = 395049794436. Its totient is φ = 43002494976.

The previous prime is 133299192319. The next prime is 133299192329. The reversal of 133299192320 is 23291992331.

It can be written as a sum of positive squares in 6 ways, for example, as 112971276544 + 20327915776 = 336112^2 + 142576^2 .

It is not an unprimeable number, because it can be changed into a prime (133299192329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36250322 + ... + 36253998.

Almost surely, 2133299192320 is an apocalyptic number.

133299192320 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 133299192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197524897218).

133299192320 is an abundant number, since it is smaller than the sum of its proper divisors (261750602116).

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

133299192320 is an equidigital number, since it uses as much as digits as its factorization.

133299192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 44.

The spelling of 133299192320 in words is "one hundred thirty-three billion, two hundred ninety-nine million, one hundred ninety-two thousand, three hundred twenty".