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12062933344 = 257112619719
BaseRepresentation
bin10110011110000000…
…11100000101100000
31011010200112111200001
423033000130011200
5144201102331334
65312554305344
7604634145610
oct131700340540
934120474601
1012062933344
115130236400
122407a28254
1311a31ca9a7
14826120a40
154a9052714
hex2cf01c160

12062933344 has 144 divisors (see below), whose sum is σ = 29923084800. Its totient is φ = 4685725440.

The previous prime is 12062933341. The next prime is 12062933357. The reversal of 12062933344 is 44333926021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12062933341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16777017 + ... + 16777735.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 212062933344 is an apocalyptic number.

12062933344 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 12062933344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961542400).

12062933344 is an abundant number, since it is smaller than the sum of its proper divisors (17860151456).

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

12062933344 is a wasteful number, since it uses less digits than its factorization.

12062933344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 12062933344 in words is "twelve billion, sixty-two million, nine hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 619 719 847 968 1232 1238 1438 1694 1936 2464 2476 2876 3388 3872 4333 4952 5033 5752 6776 6809 7909 8666 9904 10066 11504 13552 13618 15818 17332 19808 20132 23008 27104 27236 31636 34664 40264 47663 54472 55363 63272 69328 74899 80528 86999 95326 108944 110726 126544 138656 149798 161056 173998 190652 217888 221452 253088 299596 347996 381304 442904 445061 524293 599192 608993 695992 762608 885808 890122 1048586 1198384 1217986 1391984 1525216 1771616 1780244 2097172 2396768 2435972 2783968 3115427 3560488 4194344 4871944 4895671 6230854 7120976 8388688 9743888 9791342 12461708 14241952 16777376 19487776 19582684 24923416 34269697 39165368 49846832 53852381 68539394 78330736 99693664 107704762 137078788 156661472 215409524 274157576 376966667 430819048 548315152 753933334 861638096 1096630304 1507866668 1723276192 3015733336 6031466672 12062933344