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9051680736 = 2532717264113
BaseRepresentation
bin10000110111000010…
…11010111111100000
3212100211100000122200
420123201122333200
5122014212240421
64054104533200
7440211005520
oct103341327740
925324300580
109051680736
11392548a78a
121907481200
13b133a6707
1461c229680
1537e9d9726
hex21b85afe0

9051680736 has 144 divisors (see below), whose sum is σ = 31148548704. Its totient is φ = 2434056192.

The previous prime is 9051680713. The next prime is 9051680773. The reversal of 9051680736 is 6370861509.

It is a happy number.

9051680736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9051680691 and 9051680700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97785 + ... + 166328.

It is an arithmetic number, because the mean of its divisors is an integer number (216309366).

Almost surely, 29051680736 is an apocalyptic number.

9051680736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9051680736 is an abundant number, since it is smaller than the sum of its proper divisors (22096867968).

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

9051680736 is a wasteful number, since it uses less digits than its factorization.

9051680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264153 (or 264142 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9051680736 is about 95140.3212943913. The cubic root of 9051680736 is about 2084.0577175129.

The spelling of 9051680736 in words is "nine billion, fifty-one million, six hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 264113 528226 792339 1056452 1584678 1848791 2112904 2377017 3169356 3697582 4225808 4489921 4754034 5546373 6338712 7395164 8451616 8979842 9508068 11092746 12677424 13469763 14790328 16639119 17959684 19016136 22185492 25354848 26939526 29580656 31429447 33278238 35919368 38032272 40409289 44370984 53879052 59161312 62858894 66556476 71838736 76064544 80818578 88741968 94288341 107758104 125717788 133112952 143677472 161637156 177483936 188576682 215516208 251435576 266225904 282865023 323274312 377153364 431032416 502871152 532451808 565730046 646548624 754306728 1005742304 1131460092 1293097248 1508613456 2262920184 3017226912 4525840368 9051680736