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244420848966 = 237171678872311
BaseRepresentation
bin1110001110100010011…
…1100010110101000110
3212100220002221121200210
43203220213202311012
513001033214131331
6304141351020250
723441655636210
oct3435047426506
9770802847623
10244420848966
1194727219528
123b45406a686
131a0832543a8
14bb898735b0
156558112446
hex38e89e2d46

244420848966 has 128 divisors (see below), whose sum is σ = 596010369024. Its totient is φ = 65231147520.

The previous prime is 244420848929. The next prime is 244420848977. The reversal of 244420848966 is 669848024442.

244420848966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 105762951 + ... + 105765261.

It is an arithmetic number, because the mean of its divisors is an integer number (4656331008).

Almost surely, 2244420848966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244420848966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298005184512).

244420848966 is an abundant number, since it is smaller than the sum of its proper divisors (351589520058).

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

244420848966 is a wasteful number, since it uses less digits than its factorization.

244420848966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394.

The product of its (nonzero) digits is 21233664, while the sum is 57.

The spelling of 244420848966 in words is "two hundred forty-four billion, four hundred twenty million, eight hundred forty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 167 238 334 357 501 714 887 1002 1169 1774 2311 2338 2661 2839 3507 4622 5322 5678 6209 6933 7014 8517 12418 13866 15079 16177 17034 18627 19873 30158 32354 37254 39287 39746 45237 48531 59619 78574 90474 97062 105553 117861 119238 148129 211106 235722 275009 296258 316659 385937 444387 550018 633318 771874 825027 888774 1036903 1157811 1650054 2049857 2073806 2315622 2518193 2701559 3110709 4099714 5036386 5403118 6149571 6221418 6560929 7554579 8104677 12299142 13121858 14348999 15109158 16209354 17627351 19682787 28697998 34847569 35254702 39365574 43046997 45926503 52882053 69695138 86093994 91853006 104542707 105764106 137779509 209085414 243932983 275559018 342326119 487865966 684652238 731798949 1026978357 1463597898 2053956714 2396282833 4792565666 5819544023 7188848499 11639088046 14377696998 17458632069 34917264138 40736808161 81473616322 122210424483 244420848966