Search a number
-
+
12064009608 = 23327171408031
BaseRepresentation
bin10110011110001001…
…00010110110001000
31011010202120012000200
423033010202312020
5144201341301413
65313033332200
7604646250450
oct131704426610
934122505020
1012064009608
115130900a82
122408267060
1311a34b6831
14826320d60
154a91b6573
hex2cf122d88

12064009608 has 96 divisors (see below), whose sum is σ = 39537538560. Its totient is φ = 3244101120.

The previous prime is 12064009561. The next prime is 12064009613. The reversal of 12064009608 is 80690046021.

12064009608 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 40 + 0 + 9 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695448 + ... + 712583.

It is an arithmetic number, because the mean of its divisors is an integer number (411849360).

Almost surely, 212064009608 is an apocalyptic number.

12064009608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12064009608 is an abundant number, since it is smaller than the sum of its proper divisors (27473528952).

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

12064009608 is a wasteful number, since it uses less digits than its factorization.

12064009608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408067 (or 1408060 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12064009608 in words is "twelve billion, sixty-four million, nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 8568 1408031 2816062 4224093 5632124 8448186 9856217 11264248 12672279 16896372 19712434 23936527 25344558 29568651 33792744 39424868 47873054 50689116 59137302 71809581 78849736 88705953 95746108 101378232 118274604 143619162 167555689 177411906 191492216 215428743 236549208 287238324 335111378 354823812 430857486 502667067 574476648 670222756 709647624 861714972 1005334134 1340445512 1508001201 1723429944 2010668268 3016002402 4021336536 6032004804 12064009608