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44814826018644 = 22311289503689441
BaseRepresentation
bin10100011000010010000111…
…10010010001011101010100
312212200020220021112020100220
422030021003302101131110
521333221230430044034
6235151351415434340
712303523110661053
oct1214110362213524
9185606807466326
1044814826018644
1113308951a70700
1250394b66859b0
131c01034b11356
14b0d098c3639a
1552ab0a8b3749
hex28c243c91754

44814826018644 has 144 divisors (see below), whose sum is σ = 116460983882880. Its totient is φ = 13400948633600.

The previous prime is 44814826018619. The next prime is 44814826018667. The reversal of 44814826018644 is 44681062841844.

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 47 ways as a sum of consecutive naturals, for example, 64656964 + ... + 65346404.

It is an arithmetic number, because the mean of its divisors is an integer number (808756832520).

Almost surely, 244814826018644 is an apocalyptic number.

44814826018644 is a gapful number since it is divisible by the number (44) 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 44814826018644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58230491941440).

44814826018644 is an abundant number, since it is smaller than the sum of its proper divisors (71646157864236).

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

44814826018644 is a wasteful number, since it uses less digits than its factorization.

44814826018644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690062 (or 690049 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 44814826018644 in words is "forty-four trillion, eight hundred fourteen billion, eight hundred twenty-six million, eighteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 121 132 178 242 267 356 363 484 503 534 726 979 1006 1068 1452 1509 1958 2012 2937 3018 3916 5533 5874 6036 10769 11066 11748 16599 21538 22132 32307 33198 43076 44767 60863 64614 66396 89534 121726 129228 134301 179068 182589 243452 268602 365178 492437 537204 689441 730356 984874 1378882 1477311 1969748 2068323 2757764 2954622 4136646 5416807 5909244 7583851 8273292 10833614 15167702 16250421 21667228 22751553 30335404 32500842 45503106 61360249 65001684 83422361 91006212 122720498 166844722 184080747 245440996 250267083 333689444 346788823 368161494 500534166 674962739 693577646 736322988 1001068332 1040366469 1349925478 1387155292 2024888217 2080732938 2699850956 3814677053 4049776434 4161465876 7424590129 7629354106 8099552868 11444031159 14849180258 15258708212 22273770387 22888062318 29698360516 30864205247 41961447583 44547540774 45776124636 61728410494 83922895166 89095081548 92592615741 123456820988 125884342749 167845790332 185185231482 251768685498 339506257717 370370462964 503537370996 679012515434 1018518773151 1358025030868 2037037546302 3734568834887 4074075092604 7469137669774 11203706504661 14938275339548 22407413009322 44814826018644