Search a number
-
+
18000952452 = 223271710141603
BaseRepresentation
bin10000110000111100…
…001011110010000100
31201110111222010112200
4100300330023302010
5243331220434302
612134114514500
71205036366640
oct206074136204
951414863480
1018000952452
1176a808300a
1235a4595a30
13190b4a4c72
14c2a9d7c20
157054e581c
hex430f0bc84

18000952452 has 144 divisors (see below), whose sum is σ = 55608239232. Its totient is φ = 4792550400.

The previous prime is 18000952439. The next prime is 18000952493. The reversal of 18000952452 is 25425900081.

18000952452 is a `hidden beast` number, since 1 + 80 + 0 + 0 + 9 + 524 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 411883 + ... + 453485.

It is an arithmetic number, because the mean of its divisors is an integer number (386168328).

Almost surely, 218000952452 is an apocalyptic number.

18000952452 is a gapful number since it is divisible by the number (12) 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 18000952452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27804119616).

18000952452 is an abundant number, since it is smaller than the sum of its proper divisors (37607286780).

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

18000952452 is a wasteful number, since it uses less digits than its factorization.

18000952452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41738 (or 41733 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 18000952452 in words is "eighteen billion, nine hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 101 102 119 126 153 202 204 238 252 303 306 357 404 476 606 612 707 714 909 1071 1212 1414 1428 1717 1818 2121 2142 2828 3434 3636 4242 4284 5151 6363 6868 8484 10302 12019 12726 15453 20604 24038 25452 30906 36057 41603 48076 61812 72114 83206 108171 124809 144228 166412 216342 249618 291221 374427 432684 499236 582442 707251 748854 873663 1164884 1414502 1497708 1747326 2121753 2620989 2829004 3494652 4201903 4243506 4950757 5241978 6365259 8403806 8487012 9901514 10483956 12605709 12730518 14852271 16807612 19803028 25211418 25461036 29413321 29704542 37817127 44556813 50422836 58826642 59409084 71432351 75634254 88239963 89113626 117653284 142864702 151268508 176479926 178227252 214297053 264719889 285729404 352959852 428594106 500026457 529439778 642891159 857188212 1000052914 1058879556 1285782318 1500079371 2000105828 2571564636 3000158742 4500238113 6000317484 9000476226 18000952452