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133729664 = 274722229
BaseRepresentation
bin1111111100010…
…00110110000000
3100022122011121112
413332020312000
5233213322124
621134142452
73212453255
oct776106600
9308564545
10133729664
116953a092
1238951a28
13219232a3
1413a9142c
15bb1890e
hex7f88d80

133729664 has 32 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 65439232.

The previous prime is 133729663. The next prime is 133729681. The reversal of 133729664 is 466927331.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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

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, 5099 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2133729664 is an apocalyptic number.

It is an amenable number.

133729664 is an abundant number, since it is smaller than the sum of its proper divisors (138365536).

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

133729664 is an equidigital number, since it uses as much as digits as its factorization.

133729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290 (or 22278 counting only the distinct ones).

The product of its digits is 163296, while the sum is 41.

The square root of 133729664 is about 11564.1542708492. The cubic root of 133729664 is about 511.3786407595.

The spelling of 133729664 in words is "one hundred thirty-three million, seven hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 22229 44458 88916 177832 355664 711328 1044763 1422656 2089526 2845312 4179052 8358104 16716208 33432416 66864832 133729664