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9051043968 = 273228032
BaseRepresentation
bin10000110110111101…
…11111100010000000
3212100210010200011200
420123132333202000
5122014031401333
64054043141200
7440202414201
oct103336774200
925323120150
109051043968
11392509532a
121907214800
13b13212925
1461c1015a8
1537e910c13
hex21b7bf880

9051043968 has 72 divisors (see below), whose sum is σ = 26054617095. Its totient is φ = 3015938304.

The previous prime is 9051043957. The next prime is 9051043979. The reversal of 9051043968 is 8693401509.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9051043968 is a `hidden beast` number, since 9 + 0 + 510 + 43 + 96 + 8 = 666.

9051043968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9051043957) and next prime (9051043979).

It can be written as a sum of positive squares in only one way, i.e., 4525521984 + 4525521984 = 67272^2 + 67272^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67272.

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 8 ways as a sum of consecutive naturals, for example, 3227655 + ... + 3230457.

Almost surely, 29051043968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9051043968

9051043968 is an abundant number, since it is smaller than the sum of its proper divisors (17003573127).

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

9051043968 is an frugal number, since it uses more digits than its factorization.

9051043968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9051043968 is about 95136.9747679629. The cubic root of 9051043968 is about 2084.0088465749.

The spelling of 9051043968 in words is "nine billion, fifty-one million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2803 5606 8409 11212 16818 22424 25227 33636 44848 50454 67272 89696 100908 134544 179392 201816 269088 358784 403632 538176 807264 1076352 1614528 3229056 7856809 15713618 23570427 31427236 47140854 62854472 70711281 94281708 125708944 141422562 188563416 251417888 282845124 377126832 502835776 565690248 754253664 1005671552 1131380496 1508507328 2262760992 3017014656 4525521984 9051043968