Search a number
-
+
18287350368 = 2537231125407
BaseRepresentation
bin10001000010000000…
…101101001001100000
31202012110212122121220
4101002000231021200
5244423030202433
612222345215040
71215114625200
oct210200551140
952173778556
1018287350368
117834807001
123664491480
13195591c7a1
14c56a6a400
157207192b3
hex44202d260

18287350368 has 144 divisors (see below), whose sum is σ = 57643536384. Its totient is φ = 5056369920.

The previous prime is 18287350351. The next prime is 18287350429. The reversal of 18287350368 is 86305378281.

It is a self number, because there is not a number n which added to its sum of digits gives 18287350368.

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, 83121 + ... + 208527.

It is an arithmetic number, because the mean of its divisors is an integer number (400302336).

Almost surely, 218287350368 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 18287350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28821768192).

18287350368 is an abundant number, since it is smaller than the sum of its proper divisors (39356186016).

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

18287350368 is a wasteful number, since it uses less digits than its factorization.

18287350368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125465 (or 125450 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 18287350368 in words is "eighteen billion, two hundred eighty-seven million, three hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 168 186 196 217 224 248 294 336 372 392 434 496 588 651 672 744 784 868 992 1176 1302 1488 1519 1568 1736 2352 2604 2976 3038 3472 4557 4704 5208 6076 6944 9114 10416 12152 18228 20832 24304 36456 48608 72912 125407 145824 250814 376221 501628 752442 877849 1003256 1504884 1755698 2006512 2633547 3009768 3511396 3887617 4013024 5267094 6019536 6144943 7022792 7775234 10534188 11662851 12039072 12289886 14045584 15550468 18434829 21068376 23325702 24579772 27213319 28091168 31100936 36869658 42136752 46651404 49159544 54426638 62201872 73739316 81639957 84273504 93302808 98319088 108853276 124403744 147478632 163279914 186605616 190493233 196638176 217706552 294957264 326559828 373211232 380986466 435413104 571479699 589914528 653119656 761972932 870826208 1142959398 1306239312 1523945864 2285918796 2612478624 3047891728 4571837592 6095783456 9143675184 18287350368