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27443034472 = 23724310691523
BaseRepresentation
bin11001100011101110…
…110111100101101000
32121211112220121002011
4121203232313211220
5422200404100342
620335051245304
71661030641600
oct314356674550
977745817064
1027443034472
1110702971a87
12539a749834
13278470bc49
141484a09c00
15aa93e9717
hex663bb7968

27443034472 has 96 divisors (see below), whose sum is σ = 61346181600. Its totient is φ = 11469499776.

The previous prime is 27443034469. The next prime is 27443034491.

It is a happy number.

27443034472 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18018303 + ... + 18019825.

It is an arithmetic number, because the mean of its divisors is an integer number (639022725).

Almost surely, 227443034472 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 27443034472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30673090800).

27443034472 is an abundant number, since it is smaller than the sum of its proper divisors (33903147128).

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

27443034472 is a wasteful number, since it uses less digits than its factorization.

27443034472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

The spelling of 27443034472 in words is "twenty-seven billion, four hundred forty-three million, thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 602 1069 1204 1523 2107 2138 2408 3046 4214 4276 6092 7483 8428 8552 10661 12184 14966 16856 21322 29932 42644 45967 52381 59864 65489 74627 85288 91934 104762 130978 149254 183868 209524 261956 298508 321769 367736 419048 458423 523912 597016 643538 916846 1287076 1628087 1833692 2252383 2574152 3208961 3256174 3667384 4504766 6417922 6512348 9009532 11396609 12835844 13024696 18019064 22793218 25671688 45586436 70007741 79776263 91172872 140015482 159552526 280030964 319105052 490054187 560061928 638210104 980108374 1960216748 3430379309 3920433496 6860758618 13721517236 27443034472