Search a number
-
+
5305251953664 = 210321344281283
BaseRepresentation
bin100110100110011100110…
…1010000111110000000000
3200210011210010112001011200
41031030321222013300000
51143410124000004124
615141111001141200
71055202042361665
oct115147152076000
920704703461150
105305251953664
111765a43469333
1271823a18a800
132c638acc9460
14144ac0213a6c
1593006004bc9
hex4d339a87c00

5305251953664 has 132 divisors (see below), whose sum is σ = 16497169479336. Its totient is φ = 1632385179648.

The previous prime is 5305251953647. The next prime is 5305251953723. The reversal of 5305251953664 is 4663591525035.

5305251953664 is a `hidden beast` number, since 5 + 3 + 0 + 52 + 51 + 9 + 536 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5305251953664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22020834 + ... + 22260449.

Almost surely, 25305251953664 is an apocalyptic number.

It is an amenable number.

5305251953664 is an abundant number, since it is smaller than the sum of its proper divisors (11191917525672).

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

5305251953664 is a wasteful number, since it uses less digits than its factorization.

5305251953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44281322 (or 44281301 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 5305251953664 in words is "five trillion, three hundred five billion, two hundred fifty-one million, nine hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 6656 7488 9216 9984 13312 14976 19968 29952 39936 59904 119808 44281283 88562566 132843849 177125132 265687698 354250264 398531547 531375396 575656679 708500528 797063094 1062750792 1151313358 1417001056 1594126188 1726970037 2125501584 2302626716 2834002112 3188252376 3453940074 4251003168 4605253432 5180910111 5668004224 6376504752 6907880148 8502006336 9210506864 10361820222 11336008448 12753009504 13815760296 17004012672 18421013728 20723640444 22672016896 25506019008 27631520592 34008025344 36842027456 41447280888 45344033792 51012038016 55263041184 68016050688 73684054912 82894561776 102024076032 110526082368 136032101376 147368109824 165789123552 204048152064 221052164736 294736219648 331578247104 408096304128 442104329472 589472439296 663156494208 884208658944 1326312988416 1768417317888 2652625976832 5305251953664