Search a number
-
+
803394291168 = 25327398509073
BaseRepresentation
bin10111011000011100000…
…10000000010111100000
32211210200221002121010100
423230032002000113200
5101130322414304133
61413024011502400
7112020600541440
oct13541602002740
92753627077110
10803394291168
1128a799150a07
1210b853157a00
135a9b5253ba1
142ac55088120
1515d712bce13
hexbb0e0805e0

803394291168 has 72 divisors (see below), whose sum is σ = 2611031452848. Its totient is φ = 229541225472.

The previous prime is 803394291149. The next prime is 803394291173. The reversal of 803394291168 is 861192493308.

803394291168 is a `hidden beast` number, since 8 + 0 + 3 + 394 + 2 + 91 + 168 = 666.

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

It is a congruent number.

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, 199252521 + ... + 199256552.

It is an arithmetic number, because the mean of its divisors is an integer number (36264325734).

Almost surely, 2803394291168 is an apocalyptic number.

It is an amenable number.

803394291168 is an abundant number, since it is smaller than the sum of its proper divisors (1807637161680).

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

803394291168 is a wasteful number, since it uses less digits than its factorization.

803394291168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398509096 (or 398509085 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 803394291168 in words is "eight hundred three billion, three hundred ninety-four million, two hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 398509073 797018146 1195527219 1594036292 2391054438 2789563511 3188072584 3586581657 4782108876 5579127022 6376145168 7173163314 8368690533 9564217752 11158254044 12752290336 14346326628 16737381066 19128435504 22316508088 25106071599 28692653256 33474762132 38256871008 44633016176 50212143198 57385306512 66949524264 89266032352 100424286396 114770613024 133899048528 200848572792 267798097056 401697145584 803394291168