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11704643344 = 24172372432
BaseRepresentation
bin10101110011010011…
…01010111100010000
31010012201100111012001
422321221222330100
5142432342041334
65213235043344
7563023553422
oct127151527420
933181314161
1011704643344
114a66a69869
122327a40554
131146c01384
147d06d6812
1548787c714
hex2b9a6af10

11704643344 has 135 divisors (see below), whose sum is σ = 25348063167. Its totient is φ = 5234568192.

The previous prime is 11704643303. The next prime is 11704643347. The reversal of 11704643344 is 44334640711.

The square root of 11704643344 is 108188.

It is a perfect power (a square), and thus also a powerful number.

11704643344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5444668944 + 6259974400 = 73788^2 + 79120^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11704643347) 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 26 ways as a sum of consecutive naturals, for example, 272200987 + ... + 272201029.

Almost surely, 211704643344 is an apocalyptic number.

11704643344 is the 108188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11704643344

11704643344 is an abundant number, since it is smaller than the sum of its proper divisors (13643419823).

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

11704643344 is an equidigital number, since it uses as much as digits as its factorization.

11704643344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 11704643344 in words is "eleven billion, seven hundred four million, six hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 37 43 68 74 86 136 148 172 272 289 296 344 578 592 629 688 731 1156 1258 1369 1462 1591 1849 2312 2516 2738 2924 3182 3698 4624 5032 5476 5848 6364 7396 10064 10693 10952 11696 12427 12728 14792 21386 21904 23273 24854 25456 27047 29584 31433 42772 46546 49708 54094 58867 62866 68413 85544 93092 99416 108188 117734 125732 136826 171088 186184 198832 216376 235468 251464 273652 372368 395641 432752 459799 470936 502928 534361 547304 791282 919598 941872 1000739 1068722 1094608 1163021 1582564 1839196 2001478 2137444 2326042 2531281 3165128 3678392 4002956 4274888 4652084 5062562 6330256 7356784 8005912 8549776 9304168 10125124 16011824 17012563 18608336 19771357 20250248 34025126 39542714 40500496 43031777 68050252 79085428 86063554 136100504 158170856 172127108 272201008 316341712 344254216 688508432 731540209 1463080418 2926160836 5852321672 11704643344