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27366961068 = 223219531395431
BaseRepresentation
bin11001011111001100…
…101010111110101100
32121122020202122222200
4121133030222332230
5422021420223233
620323332541500
71656115221336
oct313714527654
977566678880
1027366961068
1110673a329a7
125379181890
132771a24bb5
141478886456
15aa28be313
hex65f32afac

27366961068 has 144 divisors (see below), whose sum is σ = 74739974400. Its totient is φ = 8416586880.

The previous prime is 27366961067. The next prime is 27366961093. The reversal of 27366961068 is 86016966372.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27366961067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5036313 + ... + 5041743.

It is an arithmetic number, because the mean of its divisors is an integer number (519027600).

Almost surely, 227366961068 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 27366961068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37369987200).

27366961068 is an abundant number, since it is smaller than the sum of its proper divisors (47373013332).

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

27366961068 is a wasteful number, since it uses less digits than its factorization.

27366961068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 27366961068 in words is "twenty-seven billion, three hundred sixty-six million, nine hundred sixty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 76 106 114 139 159 171 212 228 278 318 342 417 477 556 636 684 834 954 1007 1251 1668 1908 2014 2502 2641 3021 4028 5004 5282 5431 6042 7367 7923 9063 10564 10862 12084 14734 15846 16293 18126 21724 22101 23769 29468 31692 32586 36252 44202 47538 48879 65172 66303 88404 95076 97758 103189 132606 139973 195516 206378 265212 279946 287843 309567 412756 419919 559892 575686 619134 754909 839838 863529 928701 1151372 1238268 1259757 1509818 1679676 1727058 1857402 2264727 2519514 2590587 3019636 3454116 3714804 4529454 5039028 5181174 5469017 6794181 9058908 10362348 10938034 13588362 14343271 16407051 21876068 27176724 28686542 32814102 40010177 43029813 49221153 57373084 65628204 80020354 86059626 98442306 120030531 129089439 160040708 172119252 196884612 240061062 258178878 360091593 480122124 516357756 720183186 760193363 1440366372 1520386726 2280580089 3040773452 4561160178 6841740267 9122320356 13683480534 27366961068