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19444237031844 = 223217425432
BaseRepresentation
bin1000110101111001101101…
…10101110101100110100100
32112211211222022101111200100
410122330312311311212210
510022033244140004334
6105204320440544100
74044541214522112
oct432746665654644
975754868344610
1019444237031844
116217288992299
12222050b782030
13ab077847c321
144b316b19aab2
1523abc8996c99
hex11af36d759a4

19444237031844 has 135 divisors (see below), whose sum is σ = 52243136783383. Its totient is φ = 6097753992576.

The previous prime is 19444237031801. The next prime is 19444237031851. The reversal of 19444237031844 is 44813073244491.

The square root of 19444237031844 is 4409562.

It is a perfect power (a square), and thus also a powerful number.

19444237031844 is a `hidden beast` number, since 1 + 9 + 44 + 423 + 70 + 31 + 84 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6034578945444 + 13409658086400 = 2456538^2 + 3661920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7646179237 + ... + 7646181779.

Almost surely, 219444237031844 is an apocalyptic number.

19444237031844 is the 4409562-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19444237031844

19444237031844 is an abundant number, since it is smaller than the sum of its proper divisors (32798899751539).

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

19444237031844 is an frugal number, since it uses more digits than its factorization.

19444237031844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 19444237031844 in words is "nineteen trillion, four hundred forty-four billion, two hundred thirty-seven million, thirty-one thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2543 2601 3468 4913 5086 5202 7629 9826 10172 10404 14739 15258 19652 22887 29478 30516 43231 44217 45774 58956 83521 86462 88434 91548 129693 167042 172924 176868 250563 259386 334084 389079 501126 518772 734927 751689 778158 1002252 1469854 1503378 1556316 2204781 2939708 3006756 4409562 6466849 6614343 8819124 12493759 12933698 13228686 19400547 24987518 25867396 26457372 37481277 38801094 49975036 58201641 74962554 77602188 109936433 112443831 116403282 149925108 212393903 219872866 224887662 232806564 329809299 424787806 439745732 449775324 637181709 659618598 849575612 989427897 1274363418 1319237196 1868919361 1911545127 1978855794 2548726836 3737838722 3823090254 3957711588 5606758083 7475677444 7646180508 11213516166 16820274249 22427032332 31771629137 33640548498 63543258274 67281096996 95314887411 127086516548 190629774822 285944662233 381259549644 540117695329 571889324466 1080235390658 1143778648932 1620353085987 2160470781316 3240706171974 4861059257961 6481412343948 9722118515922 19444237031844