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27422486514 = 23217893133217
BaseRepresentation
bin11001100010100000…
…011110111111110010
32121210010020122120200
4121202200132333302
5422130124032024
620333035020030
71660361201163
oct314240367762
977703218520
1027422486514
11106a2307aa5
12539389a616
1327803962a7
141481dbb76a
15aa76db2c9
hex66281eff2

27422486514 has 96 divisors (see below), whose sum is σ = 63840357360. Its totient is φ = 8476655616.

The previous prime is 27422486411. The next prime is 27422486561. The reversal of 27422486514 is 41568422472.

27422486514 is a `hidden beast` number, since 2 + 74 + 22 + 48 + 6 + 514 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9986604489 + 17435882025 = 99933^2 + 132045^2 .

It is a super-2 number, since 2×274224865142 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27422486514.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8522634 + ... + 8525850.

Almost surely, 227422486514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27422486514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920178680).

27422486514 is an abundant number, since it is smaller than the sum of its proper divisors (36417870846).

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

27422486514 is a wasteful number, since it uses less digits than its factorization.

27422486514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3641 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 27422486514 in words is "twenty-seven billion, four hundred twenty-two million, four hundred eighty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 89 102 153 178 267 306 313 534 626 801 939 1513 1602 1878 2817 3026 3217 4539 5321 5634 6434 9078 9651 10642 13617 15963 19302 27234 27857 28953 31926 47889 54689 55714 57906 83571 95778 109378 164067 167142 250713 286313 328134 473569 492201 501426 572626 858939 947138 984402 1006921 1420707 1717878 2013842 2576817 2841414 3020763 4262121 4867321 5153634 6041526 8524242 9062289 9734642 14601963 17117657 18124578 29203926 34235314 43805889 51352971 87611778 89615969 102705942 154058913 179231938 268847907 308117826 537695814 806543721 1523471473 1613087442 3046942946 4570414419 9140828838 13711243257 27422486514