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27663214236 = 223719132113121
BaseRepresentation
bin11001110000110110…
…110010011010011100
32122101220012212221020
4121300312302122130
5423123240323421
620412554404140
71666343304240
oct316066623234
978356185836
1027663214236
1110806188329
125440430650
1327bb210428
1414a5d62420
15abd8dcdc6
hex670db269c

27663214236 has 96 divisors (see below), whose sum is σ = 77715832320. Its totient is φ = 7481548800.

The previous prime is 27663214223. The next prime is 27663214247. The reversal of 27663214236 is 63241236672.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101756 + ... + 2114876.

It is an arithmetic number, because the mean of its divisors is an integer number (809539920).

Almost surely, 227663214236 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 27663214236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38857916160).

27663214236 is an abundant number, since it is smaller than the sum of its proper divisors (50052618084).

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

27663214236 is a wasteful number, since it uses less digits than its factorization.

27663214236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14473 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The spelling of 27663214236 in words is "twenty-seven billion, six hundred sixty-three million, two hundred fourteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1321 1596 2642 3963 5284 7926 9247 13121 15852 18494 25099 26242 27741 36988 39363 50198 52484 55482 75297 78726 91847 100396 110964 150594 157452 175693 183694 249299 275541 301188 351386 367388 498598 527079 551082 702772 747897 997196 1054158 1102164 1495794 1745093 2108316 2991588 3490186 5235279 6980372 10470558 17332841 20941116 34665682 51998523 69331364 103997046 121329887 207994092 242659774 329323979 363989661 485319548 658647958 727979322 987971937 1317295916 1455958644 1975943874 2305267853 3951887748 4610535706 6915803559 9221071412 13831607118 27663214236