Search a number
-
+
27304113168 = 24321743259387
BaseRepresentation
bin11001011011011100…
…111011010000010000
32121110212111122212200
4121123130323100100
5421404323110133
620313205523200
71654423063323
oct313334732020
977425448780
1027304113168
1110641507392
125360113500
1327619bb8a7
1414703a67ba
15a9c107913
hex65b73b410

27304113168 has 120 divisors (see below), whose sum is σ = 82790424288. Its totient is φ = 8366754816.

The previous prime is 27304113163. The next prime is 27304113169. The reversal of 27304113168 is 86131140372.

It is a happy number.

27304113168 is a `hidden beast` number, since 27 + 304 + 11 + 316 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27304113163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24430 + ... + 234957.

Almost surely, 227304113168 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 27304113168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41395212144).

27304113168 is an abundant number, since it is smaller than the sum of its proper divisors (55486311120).

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

27304113168 is a wasteful number, since it uses less digits than its factorization.

27304113168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259461 (or 259452 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27304113168 in words is "twenty-seven billion, three hundred four million, one hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 43 48 51 68 72 86 102 129 136 144 153 172 204 258 272 306 344 387 408 516 612 688 731 774 816 1032 1224 1462 1548 2064 2193 2448 2924 3096 4386 5848 6192 6579 8772 11696 13158 17544 26316 35088 52632 105264 259387 518774 778161 1037548 1556322 2075096 2334483 3112644 4150192 4409579 4668966 6225288 8819158 9337932 11153641 12450576 13228737 17638316 18675864 22307282 26457474 33460923 35276632 37351728 39686211 44614564 52914948 66921846 70553264 79372422 89229128 100382769 105829896 133843692 158744844 178458256 189611897 200765538 211659792 267687384 317489688 379223794 401531076 535374768 568835691 634979376 758447588 803062152 1137671382 1516895176 1606124304 1706507073 2275342764 3033790352 3413014146 4550685528 6826028292 9101371056 13652056584 27304113168