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20334013344 = 2532177356893
BaseRepresentation
bin10010111100000000…
…000110101110100000
31221111010000220102100
4102330000012232200
5313121001411334
613201420250400
71316616155511
oct227400065640
957433026370
1020334013344
118695025207
123b359a0a00
131bc0954378
14dac7d0a08
157e0247c99
hex4bc006ba0

20334013344 has 144 divisors (see below), whose sum is σ = 62066119752. Its totient is φ = 6291800064.

The previous prime is 20334013331. The next prime is 20334013363. The reversal of 20334013344 is 44331043302.

It can be written as a sum of positive squares in 4 ways, for example, as 17105500944 + 3228512400 = 130788^2 + 56820^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 328962 + ... + 385854.

Almost surely, 220334013344 is an apocalyptic number.

20334013344 is a gapful number since it is divisible by the number (24) 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 20334013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31033059876).

20334013344 is an abundant number, since it is smaller than the sum of its proper divisors (41732106408).

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

20334013344 is a wasteful number, since it uses less digits than its factorization.

20334013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56999 (or 56988 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20334013344 its reverse (44331043302), we get a palindrome (64665056646).

The spelling of 20334013344 in words is "twenty billion, three hundred thirty-four million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 73 96 102 136 144 146 153 204 219 272 288 292 306 408 438 544 584 612 657 816 876 1168 1224 1241 1314 1632 1752 2336 2448 2482 2628 3504 3723 4896 4964 5256 7008 7446 9928 10512 11169 14892 19856 21024 22338 29784 39712 44676 56893 59568 89352 113786 119136 170679 178704 227572 341358 357408 455144 512037 682716 910288 967181 1024074 1365432 1820576 1934362 2048148 2730864 2901543 3868724 4096296 4153189 5461728 5803086 7737448 8192592 8306378 8704629 11606172 12459567 15474896 16385184 16612756 17409258 23212344 24919134 30949792 33225512 34818516 37378701 46424688 49838268 66451024 69637032 70604213 74757402 92849376 99676536 132902048 139274064 141208426 149514804 199353072 211812639 278548128 282416852 299029608 398706144 423625278 564833704 598059216 635437917 847250556 1129667408 1196118432 1270875834 1694501112 2259334816 2541751668 3389002224 5083503336 6778004448 10167006672 20334013344