Search a number
-
+
18745784568 = 23327231171401
BaseRepresentation
bin10001011101010101…
…011111100011111000
31210101102111112010100
4101131111133203320
5301342410101233
612340043115400
71232352353100
oct213525374370
953342445110
1018745784568
117a4a563445
123771b12b60
1319c98b0424
14c9b8c2200
1574aac1813
hex45d55f8f8

18745784568 has 144 divisors (see below), whose sum is σ = 60964263360. Its totient is φ = 5183136000.

The previous prime is 18745784549. The next prime is 18745784593. The reversal of 18745784568 is 86548754781.

It is a happy number.

18745784568 is a `hidden beast` number, since 1 + 8 + 7 + 4 + 578 + 4 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23668 + ... + 195068.

It is an arithmetic number, because the mean of its divisors is an integer number (423362940).

Almost surely, 218745784568 is an apocalyptic number.

18745784568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18745784568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30482131680).

18745784568 is an abundant number, since it is smaller than the sum of its proper divisors (42218478792).

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

18745784568 is a wasteful number, since it uses less digits than its factorization.

18745784568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171458 (or 171444 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 63.

The spelling of 18745784568 in words is "eighteen billion, seven hundred forty-five million, seven hundred eighty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 54684 109368 171401 342802 514203 685604 1028406 1199807 1371208 1542609 2056812 2399614 3085218 3599421 4113624 4799228 5313431 6170436 7198842 8398649 9598456 10626862 10798263 12340872 14397684 15940293 16797298 21253724 21596526 25195947 28795368 31880586 33594596 37194017 42507448 43193052 47820879 50391894 63761172 67189192 74388034 75587841 86386104 95641758 100783788 111582051 127522344 148776068 151175682 191283516 201567576 223164102 260358119 297552136 302351364 334746153 382567032 446328204 520716238 604702728 669492306 781074357 892656408 1041432476 1338984612 1562148714 2082864952 2343223071 2677969224 3124297428 4686446142 6248594856 9372892284 18745784568