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133885664 = 2511419277
BaseRepresentation
bin1111111101011…
…10111011100000
3100022221002121022
413332232323200
5233233320124
621141345012
73214003133
oct776567340
9308832538
10133885664
1169636310
1238a08168
13219792b3
1413ad221a
15bb49c5e
hex7faeee0

133885664 has 48 divisors (see below), whose sum is σ = 294595056. Its totient is φ = 59366400.

The previous prime is 133885643. The next prime is 133885679. The reversal of 133885664 is 466588331.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9794 + ... + 19070.

It is an arithmetic number, because the mean of its divisors is an integer number (6137397).

Almost surely, 2133885664 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 133885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147297528).

133885664 is an abundant number, since it is smaller than the sum of its proper divisors (160709392).

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

133885664 is a wasteful number, since it uses less digits than its factorization.

133885664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339 (or 9331 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 133885664 is about 11570.8972858634. The cubic root of 133885664 is about 511.5774100916.

The spelling of 133885664 in words is "one hundred thirty-three million, eight hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1804 3608 7216 9277 14432 18554 37108 74216 102047 148432 204094 296864 380357 408188 760714 816376 1521428 1632752 3042856 3265504 4183927 6085712 8367854 12171424 16735708 33471416 66942832 133885664