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447000485328 = 24324783795737
BaseRepresentation
bin1101000000100110100…
…11100001110111010000
31120201210020021102000200
412200103103201313100
524310424111012303
6541203231415200
744203042302015
oct6402323416720
91521706242020
10447000485328
11162632136701
127276b684500
13331c8b366c7
14178c63b570c
15b962c933a3
hex68134e1dd0

447000485328 has 120 divisors (see below), whose sum is σ = 1292991493248. Its totient is φ = 144072777216.

The previous prime is 447000485317. The next prime is 447000485329. The reversal of 447000485328 is 823584000744.

It is a happy number.

447000485328 is a `hidden beast` number, since 4 + 4 + 70 + 0 + 0 + 48 + 532 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447000485329) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163876 + ... + 959612.

Almost surely, 2447000485328 is an apocalyptic number.

447000485328 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 447000485328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646495746624).

447000485328 is an abundant number, since it is smaller than the sum of its proper divisors (845991007920).

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

447000485328 is a wasteful number, since it uses less digits than its factorization.

447000485328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795881 (or 795872 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 447000485328 in words is "four hundred forty-seven billion, four hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 83 94 141 144 166 188 249 282 332 376 423 498 564 664 747 752 846 996 1128 1328 1494 1692 1992 2256 2988 3384 3901 3984 5976 6768 7802 11703 11952 15604 23406 31208 35109 46812 62416 70218 93624 140436 187248 280872 561744 795737 1591474 2387211 3182948 4774422 6365896 7161633 9548844 12731792 14323266 19097688 28646532 37399639 38195376 57293064 66046171 74799278 112198917 114586128 132092342 149598556 198138513 224397834 264184684 299197112 336596751 396277026 448795668 528369368 594415539 598394224 673193502 792554052 897591336 1056738736 1188831078 1346387004 1585108104 1795182672 2377662156 2692774008 3104170037 3170216208 4755324312 5385548016 6208340074 9312510111 9510648624 12416680148 18625020222 24833360296 27937530333 37250040444 49666720592 55875060666 74500080888 111750121332 149000161776 223500242664 447000485328