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133729668 = 22323714713
BaseRepresentation
bin1111111100010…
…00110110000100
3100022122011121200
413332020312010
5233213322133
621134142500
73212453262
oct776106604
9308564550
10133729668
116953a096
1238951a30
13219232a7
1413a91432
15bb18913
hex7f88d84

133729668 has 18 divisors (see below), whose sum is σ = 338038974. Its totient is φ = 44576544.

The previous prime is 133729663. The next prime is 133729681. The reversal of 133729668 is 866927331.

133729668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 28708164 = 10248^2 + 5358^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (133729663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1857321 + ... + 1857392.

It is an arithmetic number, because the mean of its divisors is an integer number (18779943).

Almost surely, 2133729668 is an apocalyptic number.

133729668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133729668 is an abundant number, since it is smaller than the sum of its proper divisors (204309306).

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

133729668 is a wasteful number, since it uses less digits than its factorization.

133729668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714723 (or 3714718 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 133729668 is about 11564.1544437974. The cubic root of 133729668 is about 511.3786458582.

The spelling of 133729668 in words is "one hundred thirty-three million, seven hundred twenty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 3714713 7429426 11144139 14858852 22288278 33432417 44576556 66864834 133729668