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13268275344 = 24322923312
BaseRepresentation
bin11000101101101100…
…11101000010010000
31021020200121020001100
430112312131002100
5204133134302334
610032333104400
7646541323332
oct142666350220
937220536040
1013268275344
115699660715
1226a3628100
131335b427cc
148dc241452
15529c95c99
hex316d9d090

13268275344 has 135 divisors (see below), whose sum is σ = 38573871609. Its totient is φ = 4257348480.

The previous prime is 13268275333. The next prime is 13268275367. The reversal of 13268275344 is 44357286231.

The square root of 13268275344 is 115188.

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

13268275344 is a `hidden beast` number, since 1 + 32 + 6 + 8 + 275 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6957561744 + 6310713600 = 83412^2 + 79440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13268275344.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40085259 + ... + 40085589.

Almost surely, 213268275344 is an apocalyptic number.

13268275344 is the 115188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13268275344

13268275344 is an abundant number, since it is smaller than the sum of its proper divisors (25305596265).

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

13268275344 is an equidigital number, since it uses as much as digits as its factorization.

13268275344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 365 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 13268275344 in words is "thirteen billion, two hundred sixty-eight million, two hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 331 348 464 522 662 696 841 993 1044 1324 1392 1682 1986 2088 2523 2648 2979 3364 3972 4176 5046 5296 5958 6728 7569 7944 9599 10092 11916 13456 15138 15888 19198 20184 23832 28797 30276 38396 40368 47664 57594 60552 76792 86391 109561 115188 121104 153584 172782 219122 230376 278371 328683 345564 438244 460752 556742 657366 691128 835113 876488 986049 1113484 1314732 1382256 1670226 1752976 1972098 2226968 2505339 2629464 3177269 3340452 3944196 4453936 5010678 5258928 6354538 6680904 7888392 9531807 10021356 12709076 13361808 15776784 19063614 20042712 25418152 28595421 38127228 40085424 50836304 57190842 76254456 92140801 114381684 152508912 184281602 228763368 276422403 368563204 457526736 552844806 737126408 829267209 1105689612 1474252816 1658534418 2211379224 3317068836 4422758448 6634137672 13268275344