Search a number
-
+
11184394920 = 2335234198837
BaseRepresentation
bin10100110101010010…
…00101001010101000
31001212110102010111220
422122221011022220
5140401201114140
65045452222040
7544105534236
oct123251051250
931773363456
1011184394920
11481a332496
12220176a920
1310931a9a7a
1478158d956
15456d64bd0
hex29aa452a8

11184394920 has 128 divisors (see below), whose sum is σ = 35866333440. Its totient is φ = 2783221760.

The previous prime is 11184394913. The next prime is 11184394937. The reversal of 11184394920 is 2949348111.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63742 + ... + 162578.

It is an arithmetic number, because the mean of its divisors is an integer number (280205730).

Almost surely, 211184394920 is an apocalyptic number.

11184394920 is a gapful number since it is divisible by the number (10) 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 11184394920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933166720).

11184394920 is an abundant number, since it is smaller than the sum of its proper divisors (24681938520).

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

11184394920 is a wasteful number, since it uses less digits than its factorization.

11184394920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98915 (or 98911 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 11184394920 in words is "eleven billion, one hundred eighty-four million, three hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 92 115 120 123 138 164 184 205 230 246 276 328 345 410 460 492 552 615 690 820 920 943 984 1230 1380 1640 1886 2460 2760 2829 3772 4715 4920 5658 7544 9430 11316 14145 18860 22632 28290 37720 56580 98837 113160 197674 296511 395348 494185 593022 790696 988370 1186044 1482555 1976740 2273251 2372088 2965110 3953480 4052317 4546502 5930220 6819753 8104634 9093004 11366255 11860440 12156951 13639506 16209268 18186008 20261585 22732510 24313902 27279012 32418536 34098765 40523170 45465020 48627804 54558024 60784755 68197530 81046340 90930040 93203291 97255608 121569510 136395060 162092680 186406582 243139020 272790120 279609873 372813164 466016455 486278040 559219746 745626328 932032910 1118439492 1398049365 1864065820 2236878984 2796098730 3728131640 5592197460 11184394920