Search a number
-
+
13043467264 = 210432832
BaseRepresentation
bin11000010010111001…
…11000010000000000
31020200000120210100011
430021130320100000
5203203111423024
65554142434304
7641141433232
oct141134702000
936600523304
1013043467264
115593774013
122640292994
1312cb3b0789
148ba442252
1551518b094
hex309738400

13043467264 has 99 divisors (see below), whose sum is σ = 27020172783. Its totient is φ = 6293317632.

The previous prime is 13043467259. The next prime is 13043467271. The reversal of 13043467264 is 46276434031.

It is a happy number.

The square root of 13043467264 is 114208.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157150167 + ... + 157150249.

Almost surely, 213043467264 is an apocalyptic number.

13043467264 is the 114208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13043467264

13043467264 is an abundant number, since it is smaller than the sum of its proper divisors (13976705519).

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

13043467264 is an frugal number, since it uses more digits than its factorization.

13043467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 13043467264 in words is "thirteen billion, forty-three million, four hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 43 64 83 86 128 166 172 256 332 344 512 664 688 1024 1328 1376 1849 2656 2752 3569 3698 5312 5504 6889 7138 7396 10624 11008 13778 14276 14792 21248 22016 27556 28552 29584 42496 44032 55112 57104 59168 84992 110224 114208 118336 153467 220448 228416 236672 296227 306934 440896 456832 473344 592454 613868 881792 913664 946688 1184908 1227736 1763584 1827328 1893376 2369816 2455472 3527168 3654656 4739632 4910944 7054336 9479264 9821888 12737761 18958528 19643776 25475522 37917056 39287552 50951044 75834112 78575104 101902088 151668224 157150208 203804176 303336448 407608352 815216704 1630433408 3260866816 6521733632 13043467264