Search a number
-
+
12069299328 = 2731717310687
BaseRepresentation
bin10110011110110001…
…01110010010000000
31011011010111221011020
423033120232102000
5144204220034303
65313342545440
7605042231412
oct131730562200
934133457136
1012069299328
115133894249
122409b98280
1311a4619448
14826cda9b2
154a98ada53
hex2cf62e480

12069299328 has 128 divisors (see below), whose sum is σ = 34144312320. Its totient is φ = 3764207616.

The previous prime is 12069299321. The next prime is 12069299329. The reversal of 12069299328 is 82399296021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120692993282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12069299321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124001 + ... + 1134687.

It is an arithmetic number, because the mean of its divisors is an integer number (266752440).

Almost surely, 212069299328 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 12069299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072156160).

12069299328 is an abundant number, since it is smaller than the sum of its proper divisors (22075012992).

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

12069299328 is a wasteful number, since it uses less digits than its factorization.

12069299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 12069299328 in words is "twelve billion, sixty-nine million, two hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 173 192 204 272 346 384 408 519 544 692 816 1038 1088 1384 1632 2076 2176 2768 2941 3264 4152 5536 5882 6528 8304 8823 10687 11072 11764 16608 17646 21374 22144 23528 32061 33216 35292 42748 47056 64122 66432 70584 85496 94112 128244 141168 170992 181679 188224 256488 282336 341984 363358 376448 512976 545037 564672 683968 726716 1025952 1090074 1129344 1367936 1453432 1848851 2051904 2180148 2906864 3697702 4103808 4360296 5546553 5813728 7395404 8720592 11093106 11627456 14790808 17441184 22186212 23254912 29581616 31430467 34882368 44372424 59163232 62860934 69764736 88744848 94291401 118326464 125721868 177489696 188582802 236652928 251443736 354979392 377165604 502887472 709958784 754331208 1005774944 1508662416 2011549888 3017324832 4023099776 6034649664 12069299328