Search a number
-
+
18800074410 = 235131710726501
BaseRepresentation
bin10001100000100100…
…100101111010101010
31210112012122201210020
4101200210211322222
5302000304340120
612345302501310
71233611665365
oct214044457252
953465581706
1018800074410
117a78174187
123788134836
131a07c0b2b0
14ca4bb50dc
15750747640
hex460925eaa

18800074410 has 128 divisors (see below), whose sum is σ = 51932047104. Its totient is φ = 4314624000.

The previous prime is 18800074373. The next prime is 18800074421. The reversal of 18800074410 is 1447000881.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 696160 + ... + 722660.

It is an arithmetic number, because the mean of its divisors is an integer number (405719118).

Almost surely, 218800074410 is an apocalyptic number.

18800074410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18800074410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966023552).

18800074410 is an abundant number, since it is smaller than the sum of its proper divisors (33131972694).

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

18800074410 is a wasteful number, since it uses less digits than its factorization.

18800074410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26648.

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 18800074410 in words is "eighteen billion, eight hundred million, seventy-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 107 130 170 195 214 221 255 321 390 442 510 535 642 663 1070 1105 1326 1391 1605 1819 2210 2782 3210 3315 3638 4173 5457 6630 6955 8346 9095 10914 13910 18190 20865 23647 26501 27285 41730 47294 53002 54570 70941 79503 118235 132505 141882 159006 236470 265010 344513 354705 397515 450517 689026 709410 795030 901034 1033539 1351551 1722565 2067078 2252585 2703102 2835607 3445130 4505170 5167695 5671214 5856721 6757755 8506821 10335390 11713442 13515510 14178035 17013642 17570163 28356070 29283605 35140326 36862891 42534105 48205319 58567210 73725782 85068210 87850815 96410638 110588673 144615957 175701630 184314455 221177346 241026595 289231914 368628910 482053190 552943365 626669147 723079785 1105886730 1253338294 1446159570 1880007441 3133345735 3760014882 6266691470 9400037205 18800074410