Search a number
-
+
18940074225696 = 2532135058780509
BaseRepresentation
bin1000100111001110101000…
…11001010111000000100000
32111001122122100010022221100
410103213110121113000200
54440303233000210241
6104140541110154400
73663242460421401
oct423472431270040
974048570108840
1018940074225696
116042493151a38
12215a868652a00
13a7506ca79060
144969c11639a8
1522ca1c67e9b6
hex1139d4657020

18940074225696 has 72 divisors (see below), whose sum is σ = 58003977327660. Its totient is φ = 5827715145216.

The previous prime is 18940074225623. The next prime is 18940074225749. The reversal of 18940074225696 is 69652247004981.

18940074225696 is a `hidden beast` number, since 1 + 8 + 9 + 40 + 0 + 7 + 4 + 22 + 569 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18224053633296 + 716020592400 = 4268964^2 + 846180^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2529386511 + ... + 2529393998.

Almost surely, 218940074225696 is an apocalyptic number.

18940074225696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18940074225696 is an abundant number, since it is smaller than the sum of its proper divisors (39063903101964).

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

18940074225696 is a wasteful number, since it uses less digits than its factorization.

18940074225696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058780538 (or 5058780527 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 18940074225696 in words is "eighteen trillion, nine hundred forty billion, seventy-four million, two hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 5058780509 10117561018 15176341527 20235122036 30352683054 40470244072 45529024581 60705366108 65764146617 80940488144 91058049162 121410732216 131528293234 161880976288 182116098324 197292439851 242821464432 263056586468 364232196648 394584879702 485642928864 526113172936 591877319553 728464393296 789169759404 1052226345872 1183754639106 1456928786592 1578339518808 2104452691744 2367509278212 3156679037616 4735018556424 6313358075232 9470037112848 18940074225696