Search a number
-
+
56560413314655 = 33523374729104107
BaseRepresentation
bin11001101110000111111110…
…10110000000111001011111
321102021010022110012220011000
430313003333112000321133
524403141211302032110
6320143254542401343
714625232524464445
oct1467037726007137
9242233273186130
1056560413314655
1117027155875458
126415953b90253
1325738161817b3
14dd7777d3cb95
156813ed3c21c0
hex3370ff580e5f

56560413314655 has 128 divisors (see below), whose sum is σ = 107783262259200. Its totient is φ = 28067963692032.

The previous prime is 56560413314633. The next prime is 56560413314659. The reversal of 56560413314655 is 55641331406565.

56560413314655 is a `hidden beast` number, since 5 + 6 + 5 + 604 + 13 + 3 + 14 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 56560413314655 - 28 = 56560413314399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56560413314659) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 543239112 + ... + 543343218.

It is an arithmetic number, because the mean of its divisors is an integer number (842056736400).

Almost surely, 256560413314655 is an apocalyptic number.

56560413314655 is a deficient number, since it is larger than the sum of its proper divisors (51222848944545).

56560413314655 is a wasteful number, since it uses less digits than its factorization.

56560413314655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108910 (or 108904 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 56560413314655 in words is "fifty-six trillion, five hundred sixty billion, four hundred thirteen million, three hundred fourteen thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 23 27 37 45 69 111 115 135 185 207 333 345 555 621 851 999 1035 1665 2553 3105 4255 4729 4995 7659 12765 14187 22977 23645 38295 42561 70935 104107 108767 114885 127683 174973 212805 312321 326301 520535 524919 543835 638415 874865 936963 978903 1561605 1574757 1631505 2394461 2624595 2810889 2936709 3851959 4024379 4684815 4724271 4894515 7183383 7873785 11555877 11972305 12073137 14054445 14683545 19259795 20121895 21550149 23621355 34667631 35916915 36219411 57779385 60365685 64650447 88595057 104002893 107750745 108658233 173338155 181097055 265785171 323252235 442975285 492322003 520014465 543291165 797355513 1328925855 1476966009 2392066539 2461610015 3986777565 4430898027 7384830045 11323406069 11960332695 13292694081 18215914111 22154490135 33970218207 54647742333 56617030345 66463470405 91079570555 101910654621 163943226999 169851091035 273238711665 305731963863 418966024553 491829680997 509553273105 819716134995 1256898073659 1528659819315 2094830122765 2459148404985 3770694220977 6284490368295 11312082662931 18853471104885 56560413314655