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56363010050256 = 24371378791637723
BaseRepresentation
bin11001101000011000010010…
…01100010100100011010000
321101120020210002011001020020
430310030021030110203100
524341422421033102011
6315512450453343440
714605043634434250
oct1464141114244320
9241506702131206
1056363010050256
1116a6046687a138
1263a3642037b80
13255b016b31780
14dcbdaca8d960
1567b1e7dd6006
hex3343093148d0

56363010050256 has 160 divisors (see below), whose sum is σ = 179228321986560. Its totient is φ = 14863073951232.

The previous prime is 56363010050233. The next prime is 56363010050297. The reversal of 56363010050256 is 65205001036365.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 33596611 + ... + 35234333.

It is an arithmetic number, because the mean of its divisors is an integer number (1120177012416).

Almost surely, 256363010050256 is an apocalyptic number.

56363010050256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56363010050256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89614160993280).

56363010050256 is an abundant number, since it is smaller than the sum of its proper divisors (122865311936304).

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

56363010050256 is a wasteful number, since it uses less digits than its factorization.

56363010050256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645633 (or 1645627 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

The spelling of 56363010050256 in words is "fifty-six trillion, three hundred sixty-three billion, ten million, fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 7879 15758 23637 31516 47274 55153 63032 94548 102427 110306 126064 165459 189096 204854 220612 307281 330918 378192 409708 441224 614562 661836 716989 819416 882448 1229124 1323672 1433978 1637723 1638832 2150967 2458248 2647344 2867956 3275446 4301934 4913169 4916496 5735912 6550892 8603868 9826338 11464061 11471824 13101784 17207736 19652676 21290399 22928122 26203568 34392183 34415472 39305352 42580798 45856244 63871197 68784366 78610704 85161596 91712488 127742394 137568732 149032793 170323192 183424976 255484788 275137464 298065586 340646384 447098379 510969576 550274928 596131172 894196758 1021939152 1192262344 1788393516 2384524688 3576787032 7153574064 12903619517 25807239034 38710858551 51614478068 77421717102 90325336619 103228956136 154843434204 167747053721 180650673238 206457912272 270976009857 309686868408 335494107442 361301346476 503241161163 541952019714 619373736816 670988214884 722602692952 1006482322326 1083904039428 1174229376047 1341976429768 1445205385904 2012964644652 2167808078856 2348458752094 2683952859536 3522688128141 4025929289304 4335616157712 4696917504188 7045376256282 8051858578608 9393835008376 14090752512564 18787670016752 28181505025128 56363010050256