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27870465714 = 237131092272063
BaseRepresentation
bin11001111101001101…
…011000111010110010
32122221100012100111220
4121331031120322302
5424034314400324
620445320445510
72004441023040
oct317515307262
978840170456
1027870465714
1110902173443
125499919896
132822136240
1414c56b1390
15ad1bcab79
hex67d358eb2

27870465714 has 128 divisors (see below), whose sum is σ = 69572321280. Its totient is φ = 7247418624.

The previous prime is 27870465709. The next prime is 27870465731. The reversal of 27870465714 is 41756407872.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13508647 + ... + 13510709.

It is an arithmetic number, because the mean of its divisors is an integer number (543533760).

Almost surely, 227870465714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27870465714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786160640).

27870465714 is an abundant number, since it is smaller than the sum of its proper divisors (41701855566).

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

27870465714 is a wasteful number, since it uses less digits than its factorization.

27870465714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424.

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 27870465714 in words is "twenty-seven billion, eight hundred seventy million, four hundred sixty-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 109 182 218 227 273 327 454 546 654 681 763 1362 1417 1526 1589 2063 2289 2834 2951 3178 4126 4251 4578 4767 5902 6189 8502 8853 9534 9919 12378 14441 17706 19838 20657 24743 26819 28882 29757 41314 43323 49486 53638 59514 61971 74229 80457 86646 123942 148458 160914 173201 187733 224867 321659 346402 375466 449734 468301 519603 563199 643318 674601 936602 964977 1039206 1126398 1349202 1404903 1574069 1929954 2251613 2809806 2923271 3148138 3278107 4503226 4722207 5846542 6087913 6556214 6754839 8769813 9444414 9834321 12175826 13509678 17539626 18263739 19668642 20462897 36527478 40925794 42615391 51044809 61388691 85230782 102089618 122777382 127846173 153134427 255692346 306268854 357313663 663582517 714627326 1071940989 1327165034 1990747551 2143881978 3981495102 4645077619 9290155238 13935232857 27870465714