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2063268256 = 25741271829
BaseRepresentation
bin111101011111010…
…1111100110100000
312022210101212221211
41322332233212200
513211144041011
6540422555504
7102062330230
oct17276574640
95283355854
102063268256
1196972aa85
12496b98b94
1326b5c9aba
14158047cc0
15c120db21
hex7afaf9a0

2063268256 has 96 divisors (see below), whose sum is σ = 4778887680. Its totient is φ = 858470400.

The previous prime is 2063268253. The next prime is 2063268287. The reversal of 2063268256 is 6528623602.

It is not an unprimeable number, because it can be changed into a prime (2063268253) by changing a digit.

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, 2488450 + ... + 2489278.

It is an arithmetic number, because the mean of its divisors is an integer number (49780080).

Almost surely, 22063268256 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 2063268256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389443840).

2063268256 is an abundant number, since it is smaller than the sum of its proper divisors (2715619424).

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

2063268256 is a wasteful number, since it uses less digits than its factorization.

2063268256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2063268256 is about 45423.2127441466. The cubic root of 2063268256 is about 1273.0688706971.

It can be divided in two parts, 20632 and 68256, that added together give a palindrome (88888).

The spelling of 2063268256 in words is "two billion, sixty-three million, two hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 271 287 328 542 574 656 829 1084 1148 1312 1658 1897 2168 2296 3316 3794 4336 4592 5803 6632 7588 8672 9184 11111 11606 13264 15176 22222 23212 26528 30352 33989 44444 46424 60704 67978 77777 88888 92848 135956 155554 177776 185696 224659 237923 271912 311108 355552 449318 475846 543824 622216 898636 951692 1087648 1244432 1572613 1797272 1903384 2488864 3145226 3594544 3806768 6290452 7189088 7613536 9211019 12580904 18422038 25161808 36844076 50323616 64477133 73688152 128954266 147376304 257908532 294752608 515817064 1031634128 2063268256