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5827163264 = 27132269377
BaseRepresentation
bin1010110110101001…
…10111010010000000
3120001002211120020122
411123110313102000
543413223211024
62402120155412
7264255033116
oct53324672200
916032746218
105827163264
11252031100a
121167608b68
1371b332500
143d3c9bab6
15241896d5e
hex15b537480

5827163264 has 48 divisors (see below), whose sum is σ = 12570524370. Its totient is φ = 2689449984.

The previous prime is 5827163249. The next prime is 5827163267. The reversal of 5827163264 is 4623617285.

It can be written as a sum of positive squares in 3 ways, for example, as 4950529600 + 876633664 = 70360^2 + 29608^2 .

It is a super-2 number, since 2×58271632642 = 67911663410622267392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5827163267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113057 + ... + 156320.

Almost surely, 25827163264 is an apocalyptic number.

It is an amenable number.

5827163264 is an abundant number, since it is smaller than the sum of its proper divisors (6743361106).

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

5827163264 is a wasteful number, since it uses less digits than its factorization.

5827163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269417 (or 269392 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 5827163264 is about 76335.8583104952. The cubic root of 5827163264 is about 1799.5022557898.

The spelling of 5827163264 in words is "five billion, eight hundred twenty-seven million, one hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 269377 538754 1077508 2155016 3501901 4310032 7003802 8620064 14007604 17240128 28015208 34480256 45524713 56030416 91049426 112060832 182098852 224121664 364197704 448243328 728395408 1456790816 2913581632 5827163264