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133447168 = 29972687
BaseRepresentation
bin1111111010000…
…11111000000000
3100022002211002201
413331003320000
5233130302133
621124122544
73210165541
oct775037000
9308084081
10133447168
1169366918
1238836454
132185482a
1413a1a4c8
15baaed7d
hex7f43e00

133447168 has 40 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 66011136.

The previous prime is 133447141. The next prime is 133447177. The reversal of 133447168 is 861744331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48321 + ... + 51007.

Almost surely, 2133447168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

133447168 is an abundant number, since it is smaller than the sum of its proper divisors (136035584).

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

133447168 is an frugal number, since it uses more digits than its factorization.

133447168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2786 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 133447168 is about 11551.9335178142. The cubic root of 133447168 is about 511.0183012046.

The spelling of 133447168 in words is "one hundred thirty-three million, four hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 2687 3104 5374 6208 10748 12416 21496 24832 42992 49664 85984 171968 260639 343936 521278 687872 1042556 1375744 2085112 4170224 8340448 16680896 33361792 66723584 133447168