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12344666384 = 243741677591
BaseRepresentation
bin10110111111100110…
…01010100100010000
31011212022200000202002
423133303022210100
5200240213311014
65400541013132
7614624635001
oct133763124420
934768600662
1012344666384
115265273626
1224862541a8
1312196a112b
148516db1a8
154c3b53dde
hex2dfcca910

12344666384 has 80 divisors (see below), whose sum is σ = 25542281856. Its totient is φ = 5770828800.

The previous prime is 12344666381. The next prime is 12344666401. The reversal of 12344666384 is 48366644321.

12344666384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123446663843 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12344666381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1622429 + ... + 1630019.

Almost surely, 212344666384 is an apocalyptic number.

It is an amenable number.

12344666384 is an abundant number, since it is smaller than the sum of its proper divisors (13197615472).

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

12344666384 is a wasteful number, since it uses less digits than its factorization.

12344666384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7738 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 47.

The spelling of 12344666384 in words is "twelve billion, three hundred forty-four million, six hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 37 41 67 74 82 134 148 164 268 296 328 536 592 656 1072 1517 2479 2747 3034 4958 5494 6068 7591 9916 10988 12136 15182 19832 21976 24272 30364 39664 43952 60728 101639 121456 203278 280867 311231 406556 508597 561734 622462 813112 1017194 1123468 1244924 1626224 2034388 2246936 2489848 4068776 4493872 4979696 8137552 11515547 18818089 20852477 23031094 37636178 41704954 46062188 75272356 83409908 92124376 150544712 166819816 184248752 301089424 333639632 771541649 1543083298 3086166596 6172333192 12344666384