Search a number
-
+
18500093424 = 24322329192613
BaseRepresentation
bin10001001110101100…
…010000010111110000
31202202022012010020100
4101032230100113300
5300342010442144
612255425112400
71223310125301
oct211654202760
952668163210
1018500093424
11793390300a
123703788700
13198aa19057
14c770087a8
1573423e269
hex44eb105f0

18500093424 has 120 divisors (see below), whose sum is σ = 55888878240. Its totient is φ = 5695151616.

The previous prime is 18500093419. The next prime is 18500093459. The reversal of 18500093424 is 42439000581.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259 + ... + 192354.

It is an arithmetic number, because the mean of its divisors is an integer number (465740652).

Almost surely, 218500093424 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 18500093424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944439120).

18500093424 is an abundant number, since it is smaller than the sum of its proper divisors (37388784816).

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

18500093424 is a wasteful number, since it uses less digits than its factorization.

18500093424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192679 (or 192670 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18500093424 in words is "eighteen billion, five hundred million, ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 522 552 667 696 828 1044 1104 1334 1392 1656 2001 2088 2668 3312 4002 4176 5336 6003 8004 10672 12006 16008 24012 32016 48024 96048 192613 385226 577839 770452 1155678 1540904 1733517 2311356 3081808 3467034 4430099 4622712 5585777 6934068 8860198 9245424 11171554 13290297 13868136 16757331 17720396 22343108 26580594 27736272 33514662 35440792 39870891 44686216 50271993 53161188 67029324 70881584 79741782 89372432 100543986 106322376 128472871 134058648 159483564 201087972 212644752 256945742 268117296 318967128 385418613 402175944 513891484 637934256 770837226 804351888 1027782968 1156255839 1541674452 2055565936 2312511678 3083348904 4625023356 6166697808 9250046712 18500093424