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5857064226 = 232131072231049
BaseRepresentation
bin1010111010001101…
…11011010100100010
3120010012002200122200
411131012323110202
543443402023401
62405105114030
7265100136666
oct53506732442
916105080580
105857064226
112536184052
121175628916
137245a13a0
143d7c428a6
15244301686
hex15d1bb522

5857064226 has 96 divisors (see below), whose sum is σ = 13869273600. Its totient is φ = 1775630592.

The previous prime is 5857064209. The next prime is 5857064249. The reversal of 5857064226 is 6224607585.

5857064226 is a `hidden beast` number, since 58 + 570 + 6 + 4 + 2 + 26 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5582950 + ... + 5583998.

It is an arithmetic number, because the mean of its divisors is an integer number (144471600).

Almost surely, 25857064226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857064226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934636800).

5857064226 is an abundant number, since it is smaller than the sum of its proper divisors (8012209374).

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

5857064226 is a wasteful number, since it uses less digits than its factorization.

5857064226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5857064226 is about 76531.4590609639. The cubic root of 5857064226 is about 1802.5749388121.

The spelling of 5857064226 in words is "five billion, eight hundred fifty-seven million, sixty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 223 234 321 446 642 669 963 1049 1338 1391 1926 2007 2098 2782 2899 3147 4014 4173 5798 6294 8346 8697 9441 12519 13637 17394 18882 23861 25038 26091 27274 40911 47722 52182 71583 81822 112243 122733 143166 214749 224486 233927 245466 310193 336729 429498 467854 620386 673458 701781 930579 1010187 1403562 1459159 1861158 2020374 2105343 2791737 2918318 3041051 4210686 4377477 5583474 6082102 8754954 9123153 13132431 18246306 25030189 26264862 27369459 50060378 54738918 75090567 150181134 225271701 325392457 450543402 650784914 976177371 1952354742 2928532113 5857064226