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320833689140 = 225291069517457
BaseRepresentation
bin1001010101100110010…
…11011001011000110100
31010200010110012002111102
410222303023121120310
520224031411023030
6403220003225232
732115362234666
oct4526313313064
91120113162442
10320833689140
11114079287308
125221a678218
1324340153613
1411758042536
15852b708c45
hex4ab32d9634

320833689140 has 48 divisors (see below), whose sum is σ = 697636875600. Its totient is φ = 123792033792.

The previous prime is 320833689101. The next prime is 320833689223. The reversal of 320833689140 is 41986338023.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 58972236964 + 261861452176 = 242842^2 + 511724^2 .

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 15 ways as a sum of consecutive naturals, for example, 361292 + ... + 878748.

It is an arithmetic number, because the mean of its divisors is an integer number (14534101575).

Almost surely, 2320833689140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320833689140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348818437800).

320833689140 is an abundant number, since it is smaller than the sum of its proper divisors (376803186460).

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

320833689140 is a wasteful number, since it uses less digits than its factorization.

320833689140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518564 (or 518562 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 320833689140 in words is "three hundred twenty billion, eight hundred thirty-three million, six hundred eighty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1069 2138 4276 5345 10690 21380 31001 62002 124004 155005 310010 517457 620020 1034914 2069828 2587285 5174570 10349140 15006253 30012506 60025012 75031265 150062530 300125060 553161533 1106323066 2212646132 2765807665 5531615330 11063230660 16041684457 32083368914 64166737828 80208422285 160416844570 320833689140