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133685568 = 26322310091
BaseRepresentation
bin1111111011111…
…10000101000000
3100022112221010100
413331332011000
5233210414233
621133202400
73212210562
oct775760500
9308487110
10133685568
1169509a45
1238930400
13219091b3
1413a7d332
15bb0a813
hex7f7e140

133685568 has 84 divisors (see below), whose sum is σ = 399885408. Its totient is φ = 42620160.

The previous prime is 133685549. The next prime is 133685627. The reversal of 133685568 is 865586331.

133685568 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 85 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8203 + ... + 18293.

Almost surely, 2133685568 is an apocalyptic number.

133685568 is a gapful number since it is divisible by the number (18) 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 133685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199942704).

133685568 is an abundant number, since it is smaller than the sum of its proper divisors (266199840).

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

133685568 is a wasteful number, since it uses less digits than its factorization.

133685568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10119 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 133685568 is about 11562.2475323788. The cubic root of 133685568 is about 511.3224272742.

The spelling of 133685568 in words is "one hundred thirty-three million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 10091 13248 20182 30273 40364 60546 80728 90819 121092 161456 181638 232093 242184 322912 363276 464186 484368 645824 696279 726552 928372 968736 1392558 1453104 1856744 1937472 2088837 2785116 2906208 3713488 4177674 5570232 5812416 7426976 8355348 11140464 14853952 16710696 22280928 33421392 44561856 66842784 133685568