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133613472 = 253171931139
BaseRepresentation
bin1111111011011…
…00011110100000
3100022102021020010
413331230132200
5233201112342
621131444520
73211460436
oct775543640
9308367203
10133613472
116946a863
12388b6740
13218b2435
1413a60d56
15bae429c
hex7f6c7a0

133613472 has 192 divisors, whose sum is σ = 406425600. Its totient is φ = 38154240.

The previous prime is 133613419. The next prime is 133613507. The reversal of 133613472 is 274316331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961179 + ... + 961317.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2133613472 is an apocalyptic number.

133613472 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 133613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

133613472 is an abundant number, since it is smaller than the sum of its proper divisors (272812128).

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

133613472 is a wasteful number, since it uses less digits than its factorization.

133613472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 133613472 is about 11559.1293789801. The cubic root of 133613472 is about 511.2304928164.

The spelling of 133613472 in words is "one hundred thirty-three million, six hundred thirteen thousand, four hundred seventy-two".