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9201428346 = 2311237018647
BaseRepresentation
bin10001001000111001…
…01010011101111010
3212202021002222202110
420210130222131322
5122321031201341
64121014313150
7444006564465
oct104434523572
925667088673
109201428346
1139a1a6a340
1219496587b6
13b38417776
1463408a2dc
1538cc19216
hex22472a77a

9201428346 has 64 divisors (see below), whose sum is σ = 20981016576. Its totient is φ = 2662968000.

The previous prime is 9201428309. The next prime is 9201428363. The reversal of 9201428346 is 6438241029.

9201428346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1059795 + ... + 1068441.

It is an arithmetic number, because the mean of its divisors is an integer number (327828384).

Almost surely, 29201428346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9201428346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490508288).

9201428346 is an abundant number, since it is smaller than the sum of its proper divisors (11779588230).

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

9201428346 is a wasteful number, since it uses less digits than its factorization.

9201428346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 9201428346 is about 95924.0759455102. The cubic root of 9201428346 is about 2095.4875400929.

The spelling of 9201428346 in words is "nine billion, two hundred one million, four hundred twenty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 701 759 1402 1518 2103 4206 7711 8647 15422 16123 17294 23133 25941 32246 46266 48369 51882 95117 96738 177353 190234 198881 285351 354706 397762 532059 570702 596643 1064118 1193286 2187691 4375382 6061547 6563073 12123094 13126146 18184641 36369282 66677017 133354034 139415581 200031051 278831162 400062102 418246743 836493486 1533571391 3067142782 4600714173 9201428346