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27093667158 = 23419611131277
BaseRepresentation
bin11001001110111010…
…001000110101010110
32120221012111220020000
4121032322020311112
5420441434322113
620240251152130
71646256241155
oct311672106526
976835456200
1027093667158
111054373a168
125301745646
13272a217a1c
14145046559c
15a888d8373
hex64ee88d56

27093667158 has 160 divisors (see below), whose sum is σ = 65578883040. Its totient is φ = 8334627840.

The previous prime is 27093667157. The next prime is 27093667199. The reversal of 27093667158 is 85176639072.

27093667158 is a `hidden beast` number, since 270 + 9 + 366 + 7 + 1 + 5 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27093667157) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21216016 + ... + 21217292.

It is an arithmetic number, because the mean of its divisors is an integer number (409868019).

Almost surely, 227093667158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27093667158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32789441520).

27093667158 is an abundant number, since it is smaller than the sum of its proper divisors (38485215882).

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

27093667158 is a wasteful number, since it uses less digits than its factorization.

27093667158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 27093667158 in words is "twenty-seven billion, ninety-three million, six hundred sixty-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 81 113 114 122 162 171 183 226 339 342 366 513 549 678 1017 1026 1098 1159 1277 1539 1647 2034 2147 2318 2554 3051 3078 3294 3477 3831 4294 4941 6102 6441 6893 6954 7662 9153 9882 10431 11493 12882 13786 18306 19323 20679 20862 22986 24263 31293 34479 38646 41358 48526 57969 62037 62586 68958 72789 77897 93879 103437 115938 124074 130967 144301 145578 155794 173907 186111 187758 206874 218367 233691 261934 288602 347814 372222 392901 432903 436734 467382 558333 655101 701073 785802 865806 1116666 1178703 1298709 1310202 1402146 1480043 1965303 2103219 2357406 2597418 2741719 2960086 3536109 3896127 3930606 4206438 4440129 5483438 6309657 7072218 7792254 8225157 8802361 8880258 10608327 11688381 12619314 13320387 16450314 17604722 21216654 23376762 24675471 26407083 26640774 39961161 49350942 52814166 74026413 79221249 79922322 119883483 148052826 158442498 167244859 222079239 237663747 239766966 334489718 444158478 475327494 501734577 712991241 1003469154 1425982482 1505203731 3010407462 4515611193 9031222386 13546833579 27093667158