Search a number
-
+
18568967824 = 241121921632
BaseRepresentation
bin10001010010110010…
…111111011010010000
31202221002210022011001
4101102302333122100
5301012123432244
612310325231344
71225104423301
oct212262773220
952832708131
1018568967824
117969775400
123722862554
13199c082434
14c822167a8
1573a2e65d4
hex452cbf690

18568967824 has 135 divisors (see below), whose sum is σ = 41993880579. Its totient is φ = 7947149760.

The previous prime is 18568967803. The next prime is 18568967831. The reversal of 18568967824 is 42876986581.

It is a happy number.

The square root of 18568967824 is 136268.

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

It is an unprimeable number.

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, 113919967 + ... + 113920129.

Almost surely, 218568967824 is an apocalyptic number.

18568967824 is the 136268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18568967824

18568967824 is an abundant number, since it is smaller than the sum of its proper divisors (23424912755).

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

18568967824 is a wasteful number, since it uses less digits than its factorization.

18568967824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 64.

Multiplying 18568967824 by its sum of digits (64), we get a square (1188413940736 = 10901442).

The spelling of 18568967824 in words is "eighteen billion, five hundred sixty-eight million, nine hundred sixty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 163 176 209 242 304 326 361 418 484 652 722 836 968 1304 1444 1672 1793 1936 2299 2608 2888 3097 3344 3586 3971 4598 5776 6194 7172 7942 9196 12388 14344 15884 18392 19723 24776 26569 28688 31768 34067 36784 39446 43681 49552 53138 58843 63536 68134 78892 87362 106276 117686 136268 157784 174724 212552 235372 272536 292259 315568 349448 374737 425104 470744 504811 545072 584518 647273 698896 749474 941488 1009622 1169036 1294546 1498948 2019244 2338072 2589092 2997896 3214849 4038488 4676144 5178184 5552921 5995792 6429698 7120003 8076976 9591409 10356368 11105842 12859396 14240006 19182818 22211684 25718792 28480012 38365636 44423368 51437584 56960024 61082131 76731272 88846736 105505499 113920048 122164262 153462544 211010998 244328524 422021996 488657048 844043992 977314096 1160560489 1688087984 2321120978 4642241956 9284483912 18568967824