Search a number
-
+
61284622648216 = 23112235351936473
BaseRepresentation
bin11011110111100111100000…
…01010011100001110011000
322000222202022201112120011211
431323303300022130032120
531013041401344220331
6334201433400032504
715623445036324532
oct1573636012341630
9260882281476154
1061284622648216
1118588731886300
126a59454162734
132827165bb7bb6
14111c297910852
157142489c58b1
hex37bcf029c398

61284622648216 has 96 divisors (see below), whose sum is σ = 134282792256480. Its totient is φ = 26142742545920.

The previous prime is 61284622648181. The next prime is 61284622648259.

61284622648216 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24788245 + ... + 27148228.

It is an arithmetic number, because the mean of its divisors is an integer number (1398779086005).

Almost surely, 261284622648216 is an apocalyptic number.

It is an amenable number.

61284622648216 is an abundant number, since it is smaller than the sum of its proper divisors (72998169608264).

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

61284622648216 is a wasteful number, since it uses less digits than its factorization.

61284622648216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51936577 (or 51936562 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 58.

The spelling of 61284622648216 in words is "sixty-one trillion, two hundred eighty-four billion, six hundred twenty-two million, six hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 53 88 92 106 121 184 212 242 253 424 484 506 583 968 1012 1166 1219 2024 2332 2438 2783 4664 4876 5566 6413 9752 11132 12826 13409 22264 25652 26818 51304 53636 107272 147499 294998 589996 1179992 51936473 103872946 207745892 415491784 571301203 1142602406 1194538879 2285204812 2389077758 2752633069 4570409624 4778155516 5505266138 6284313233 9556311032 11010532276 12568626466 13139927669 22021064552 25137252932 26279855338 30278963759 50274505864 52559710676 60557927518 63310560587 105119421352 121115855036 126621121174 144539204359 242231710072 253242242348 289078408718 333068601349 506484484696 578156817436 666137202698 696416166457 1156313634872 1332274405396 1392832332914 2664548810792 2785664665828 5571329331656 7660577831027 15321155662054 30642311324108 61284622648216