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563461581996 = 2232232986327191
BaseRepresentation
bin10000011001100001110…
…11010110110010101100
31222212101121101002210100
420030300323112302230
533212432131110441
61110503425111100
755465050265005
oct10146073266254
91885347332710
10563461581996
111a7a65412325
1291252188490
1341198ab2b21
141d3b37141ac
15e9cc204cb6
hex8330ed6cac

563461581996 has 144 divisors (see below), whose sum is σ = 1539319541760. Its totient is φ = 173252069760.

The previous prime is 563461581961. The next prime is 563461582043. The reversal of 563461581996 is 699185164365.

563461581996 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 615 + 8 + 1 + 9 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20708761 + ... + 20735951.

It is an arithmetic number, because the mean of its divisors is an integer number (10689719040).

Almost surely, 2563461581996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563461581996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769659770880).

563461581996 is an abundant number, since it is smaller than the sum of its proper divisors (975857959764).

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

563461581996 is a wasteful number, since it uses less digits than its factorization.

563461581996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28116 (or 28111 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 563461581996 in words is "five hundred sixty-three billion, four hundred sixty-one million, five hundred eighty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 863 1044 1334 1726 2001 2589 2668 3452 4002 5178 6003 7767 8004 10356 12006 15534 19849 24012 25027 27191 31068 39698 50054 54382 59547 75081 79396 81573 100108 108764 119094 150162 163146 178641 225243 238188 244719 300324 326292 357282 450486 489438 575621 625393 714564 788539 900972 978876 1151242 1250786 1577078 1726863 1876179 2302484 2365617 2501572 3154156 3453726 3752358 4731234 5180589 5628537 6907452 7096851 7504716 9462468 10361178 11257074 14193702 18136397 20722356 22514148 23465833 28387404 36272794 46931666 54409191 70397499 72545588 93863332 108818382 140794998 163227573 211192497 217636764 281589996 326455146 422384994 539714159 652910292 680509157 844769988 1079428318 1361018314 1619142477 2041527471 2158856636 2722036628 3238284954 4083054942 4857427431 6124582413 6476569908 8166109884 9714854862 12249164826 15651710611 19429709724 24498329652 31303421222 46955131833 62606842444 93910263666 140865395499 187820527332 281730790998 563461581996