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12564393894 = 2341321074289
BaseRepresentation
bin10111011001110010…
…10110111110100110
31012102122010100020000
423230321112332212
5201212441101034
65434430322130
7623233404663
oct135471267646
935378110200
1012564393894
115368300108
122527959346
131253074800
14872976a6a
154d80a8599
hex2ece56fa6

12564393894 has 120 divisors (see below), whose sum is σ = 30777884280. Its totient is φ = 3828943872.

The previous prime is 12564393887. The next prime is 12564393917. The reversal of 12564393894 is 49839346521.

12564393894 is a `hidden beast` number, since 1 + 256 + 4 + 3 + 9 + 389 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12564393894.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2927302 + ... + 2931590.

It is an arithmetic number, because the mean of its divisors is an integer number (256482369).

Almost surely, 212564393894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12564393894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15388942140).

12564393894 is an abundant number, since it is smaller than the sum of its proper divisors (18213490386).

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

12564393894 is a wasteful number, since it uses less digits than its factorization.

12564393894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4414 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 12564393894 in words is "twelve billion, five hundred sixty-four million, three hundred ninety-three thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 107 117 162 169 214 234 321 338 351 507 642 702 963 1014 1053 1391 1521 1926 2106 2782 2889 3042 4173 4289 4563 5778 8346 8578 8667 9126 12519 12867 13689 17334 18083 25038 25734 27378 36166 37557 38601 54249 55757 75114 77202 108498 111514 112671 115803 162747 167271 225342 231606 325494 334542 347409 458923 488241 501813 694818 724841 917846 976482 1003626 1376769 1449682 1464723 1505439 2174523 2753538 2929446 3010878 4130307 4349046 4516317 5965999 6523569 8260614 9032634 11931998 12390921 13047138 17897997 19570707 24781842 35795994 37172763 39141414 53693991 58712121 74345526 77557987 107387982 117424242 155115974 161081973 232673961 322163946 465347922 483245919 698021883 966491838 1396043766 2094065649 4188131298 6282196947 12564393894