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27013362684 = 223721111173739
BaseRepresentation
bin11001001010000111…
…110011001111111100
32120201121102000012020
4121022013303033330
5420310410101214
620224302040140
71644262536300
oct311207631774
976647360166
1027013362684
1110502380230
12529a879050
1327166abb99
14144391dd00
15a818244a9
hex64a1f33fc

27013362684 has 144 divisors (see below), whose sum is σ = 80080640640. Its totient is φ = 7008301440.

The previous prime is 27013362679. The next prime is 27013362757. The reversal of 27013362684 is 48626331072.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7222887 + ... + 7226625.

It is an arithmetic number, because the mean of its divisors is an integer number (556115560).

Almost surely, 227013362684 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 27013362684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40040320320).

27013362684 is an abundant number, since it is smaller than the sum of its proper divisors (53067277956).

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

27013362684 is a wasteful number, since it uses less digits than its factorization.

27013362684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 27013362684 in words is "twenty-seven billion, thirteen million, three hundred sixty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1117 1617 2156 2234 3234 3351 3739 4468 6468 6702 7478 7819 11217 12287 13404 14956 15638 22434 23457 24574 26173 31276 36861 41129 44868 46914 49148 52346 54733 73722 78519 82258 86009 93828 104692 109466 123387 147444 157038 164199 164516 172018 183211 218932 246774 258027 287903 314076 328398 344036 366422 493548 516054 549633 575806 602063 656796 732844 863709 1032108 1099266 1151612 1204126 1727418 1806189 2015321 2198532 2408252 3454836 3612378 4030642 4176463 6045963 7224756 8061284 8352926 12091926 12529389 16705852 24183852 25058778 29235241 45941093 50117556 58470482 87705723 91882186 116940964 137823279 175411446 183764372 204646687 275646558 321587651 350822892 409293374 551293116 613940061 643175302 818586748 964762953 1227880122 1286350604 1929525906 2251113557 2455760244 3859051812 4502227114 6753340671 9004454228 13506681342 27013362684