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2168592896 = 2917733413
BaseRepresentation
bin1000000101000010…
…0001101000000000
312121010120221012102
42001100201220000
513420124433041
6555104245532
7104511510161
oct20120415000
95533527172
102168592896
11a13128a38
125063108a8
13287386082
14168023768
15ca5b609b
hex81421a00

2168592896 has 80 divisors (see below), whose sum is σ = 4652039304. Its totient is φ = 1006239744.

The previous prime is 2168592893. The next prime is 2168592929. The reversal of 2168592896 is 6982958612.

It can be written as a sum of positive squares in 4 ways, for example, as 2160390400 + 8202496 = 46480^2 + 2864^2 .

It is not an unprimeable number, because it can be changed into a prime (2168592893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633686 + ... + 637098.

Almost surely, 22168592896 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 2168592896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326019652).

2168592896 is an abundant number, since it is smaller than the sum of its proper divisors (2483446408).

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

2168592896 is an equidigital number, since it uses as much as digits as its factorization.

2168592896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3505 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 56.

The square root of 2168592896 is about 46568.1532380231. The cubic root of 2168592896 is about 1294.3726971800.

The spelling of 2168592896 in words is "two billion, one hundred sixty-eight million, five hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 256 272 292 512 544 584 1088 1168 1241 2176 2336 2482 3413 4352 4672 4964 6826 8704 9344 9928 13652 18688 19856 27304 37376 39712 54608 58021 79424 109216 116042 158848 218432 232084 249149 317696 436864 464168 498298 635392 873728 928336 996596 1747456 1856672 1993192 3713344 3986384 4235533 7426688 7972768 8471066 14853376 15945536 16942132 29706752 31891072 33884264 63782144 67768528 127564288 135537056 271074112 542148224 1084296448 2168592896