Search a number
-
+
18813194496 = 283223393491
BaseRepresentation
bin10001100001010110…
…101001000100000000
31210120010100022011100
4101201112221010000
5302012134210441
612350452014400
71234131341355
oct214126510400
953503308140
1018813194496
117a84615528
123790601400
131a0a853065
14ca682c62c
15751989cb6
hex4615a9100

18813194496 has 108 divisors (see below), whose sum is σ = 54281813040. Its totient is φ = 6266588160.

The previous prime is 18813194479. The next prime is 18813194501. The reversal of 18813194496 is 69449131881.

18813194496 is a `hidden beast` number, since 18 + 8 + 131 + 9 + 4 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5387311 + ... + 5390801.

It is an arithmetic number, because the mean of its divisors is an integer number (502609380).

Almost surely, 218813194496 is an apocalyptic number.

18813194496 is a gapful number since it is divisible by the number (16) 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 18813194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27140906520).

18813194496 is an abundant number, since it is smaller than the sum of its proper divisors (35468618544).

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

18813194496 is a wasteful number, since it uses less digits than its factorization.

18813194496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5835 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 18813194496 in words is "eighteen billion, eight hundred thirteen million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2339 3491 4678 6982 7017 9356 10473 13964 14034 18712 20946 21051 27928 28068 31419 37424 41892 42102 55856 56136 62838 74848 83784 84204 111712 112272 125676 149696 167568 168408 223424 224544 251352 299392 335136 336816 446848 449088 502704 598784 670272 673632 893696 898176 1005408 1340544 1347264 1796352 2010816 2681088 2694528 4021632 5389056 8043264 8165449 16330898 24496347 32661796 48992694 65323592 73489041 97985388 130647184 146978082 195970776 261294368 293956164 391941552 522588736 587912328 783883104 1045177472 1175824656 1567766208 2090354944 2351649312 3135532416 4703298624 6271064832 9406597248 18813194496