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44345267680 = 2557154925561
BaseRepresentation
bin101001010011001011…
…110001010111100000
311020110111110000011111
4221103023301113200
51211304342031210
632212200553104
73126626361460
oct512313612740
9136414400144
1044345267680
1117896824a5a
128717182794
13424939117c
142209719ba0
15124820d88a
hexa532f15e0

44345267680 has 96 divisors (see below), whose sum is σ = 119814206400. Its totient is φ = 15193681920.

The previous prime is 44345267677. The next prime is 44345267693. The reversal of 44345267680 is 8676254344.

It is a super-2 number, since 2×443452676802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1722100 + ... + 1747660.

It is an arithmetic number, because the mean of its divisors is an integer number (1248064650).

Almost surely, 244345267680 is an apocalyptic number.

44345267680 is a gapful number since it is divisible by the number (40) 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 44345267680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59907103200).

44345267680 is an abundant number, since it is smaller than the sum of its proper divisors (75468938720).

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

44345267680 is a wasteful number, since it uses less digits than its factorization.

44345267680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27132 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 44345267680 in words is "forty-four billion, three hundred forty-five million, two hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1549 3098 6196 7745 10843 12392 15490 21686 24784 25561 30980 43372 49568 51122 54215 61960 86744 102244 108430 123920 127805 173488 178927 204488 216860 247840 255610 346976 357854 408976 433720 511220 715708 817952 867440 894635 1022440 1431416 1734880 1789270 2044880 2862832 3578540 4089760 5725664 7157080 14314160 28628320 39593989 79187978 158375956 197969945 277157923 316751912 395939890 554315846 633503824 791879780 1108631692 1267007648 1385789615 1583759560 2217263384 2771579230 3167519120 4434526768 5543158460 6335038240 8869053536 11086316920 22172633840 44345267680