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12392383584 = 253739746451
BaseRepresentation
bin10111000101010010…
…01100010001100000
31011222122110022102210
423202221030101200
5200334422233314
65405403442120
7616044344130
oct134251142140
934878408383
1012392383584
11528a1a5229
12249a226340
13122653a469
14857b9cac0
154c7e2c559
hex2e2a4c460

12392383584 has 96 divisors (see below), whose sum is σ = 37271598336. Its totient is φ = 3531686400.

The previous prime is 12392383573. The next prime is 12392383603. The reversal of 12392383584 is 48538329321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 243559 + ... + 290009.

It is an arithmetic number, because the mean of its divisors is an integer number (388245816).

Almost surely, 212392383584 is an apocalyptic number.

12392383584 is a gapful number since it is divisible by the number (14) 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 12392383584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635799168).

12392383584 is an abundant number, since it is smaller than the sum of its proper divisors (24879214752).

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

12392383584 is a wasteful number, since it uses less digits than its factorization.

12392383584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46868 (or 46860 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 12392383584 in words is "twelve billion, three hundred ninety-two million, three hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 397 672 794 1191 1588 2382 2779 3176 4764 5558 6352 8337 9528 11116 12704 16674 19056 22232 33348 38112 44464 46451 66696 88928 92902 133392 139353 185804 266784 278706 325157 371608 557412 650314 743216 975471 1114824 1300628 1486432 1950942 2229648 2601256 3901884 4459296 5202512 7803768 10405024 15607536 18441047 31215072 36882094 55323141 73764188 110646282 129087329 147528376 221292564 258174658 295056752 387261987 442585128 516349316 590113504 774523974 885170256 1032698632 1549047948 1770340512 2065397264 3098095896 4130794528 6196191792 12392383584