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44480583168 = 29376167819
BaseRepresentation
bin101001011011001111…
…111101011000000000
311020210221001202010020
4221123033331120000
51212044012130133
632233433133440
73133161501330
oct513317753000
9136727052106
1044480583168
111795614753a
12875455a280
13426b41b1c8
14221d6a10c0
15125503c0b3
hexa5b3fd600

44480583168 has 160 divisors (see below), whose sum is σ = 137649642240. Its totient is φ = 12500213760.

The previous prime is 44480583109. The next prime is 44480583221. The reversal of 44480583168 is 86138508444.

44480583168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44480583168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621963 + ... + 689781.

It is an arithmetic number, because the mean of its divisors is an integer number (860310264).

Almost surely, 244480583168 is an apocalyptic number.

44480583168 is a gapful number since it is divisible by the number (48) 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 44480583168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68824821120).

44480583168 is an abundant number, since it is smaller than the sum of its proper divisors (93169059072).

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

44480583168 is an equidigital number, since it uses as much as digits as its factorization.

44480583168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67908 (or 67892 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 44480583168 in words is "forty-four billion, four hundred eighty million, five hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 512 672 732 768 854 896 976 1281 1344 1464 1536 1708 1792 1952 2562 2688 2928 3416 3584 3904 5124 5376 5856 6832 7808 10248 10752 11712 13664 15616 20496 23424 27328 31232 40992 46848 54656 67819 81984 93696 109312 135638 163968 203457 218624 271276 327936 406914 474733 542552 655872 813828 949466 1085104 1424199 1627656 1898932 2170208 2848398 3255312 3797864 4136959 4340416 5696796 6510624 7595728 8273918 8680832 11393592 12410877 13021248 15191456 16547836 17361664 22787184 24821754 26042496 28958713 30382912 33095672 34723328 45574368 49643508 52084992 57917426 60765824 66191344 86876139 91148736 99287016 104169984 115834852 121531648 132382688 173752278 182297472 198574032 231669704 243063296 264765376 347504556 364594944 397148064 463339408 529530752 695009112 729189888 794296128 926678816 1059061504 1390018224 1588592256 1853357632 2118123008 2780036448 3177184512 3706715264 5560072896 6354369024 7413430528 11120145792 14826861056 22240291584 44480583168