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8464566272 = 2111921072
BaseRepresentation
bin1111110001000011…
…10000100000000000
3210211220120112000112
413320201300200000
5114313412110042
63515533010452
7416521424531
oct77041604000
923756515015
108464566272
113654032a18
121782923a28
13a4b86cbc6
145a4278688
153481b4982
hex1f8870800

8464566272 has 108 divisors (see below), whose sum is σ = 18031173615. Its totient is φ = 3972059136.

The previous prime is 8464566259. The next prime is 8464566289. The reversal of 8464566272 is 2726654648.

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.

It can be written as a sum of positive squares in only one way, i.e., 4232283136 + 4232283136 = 65056^2 + 65056^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=65056.

It is a Duffinian number.

Its product of digits (3870720) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 8464566272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79108043 + ... + 79108149.

Almost surely, 28464566272 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 8464566272

8464566272 is an abundant number, since it is smaller than the sum of its proper divisors (9566607343).

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

8464566272 is an equidigital number, since it uses as much as digits as its factorization.

8464566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 128 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 50.

The square root of 8464566272 is about 92003.0775137441. The cubic root of 8464566272 is about 2037.9877530617.

Multiplying 8464566272 by its sum of digits (50), we get a square (423228313600 = 6505602).

The spelling of 8464566272 in words is "eight billion, four hundred sixty-four million, five hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 128 152 214 256 304 361 428 512 608 722 856 1024 1216 1444 1712 2033 2048 2432 2888 3424 4066 4864 5776 6848 8132 9728 11449 11552 13696 16264 19456 22898 23104 27392 32528 38627 38912 45796 46208 54784 65056 77254 91592 92416 109568 130112 154508 183184 184832 217531 219136 260224 309016 366368 369664 435062 520448 618032 732736 739328 870124 1040896 1236064 1465472 1740248 2081792 2472128 2930944 3480496 4133089 4163584 4944256 5861888 6960992 8266178 9888512 11723776 13921984 16532356 19777024 23447552 27843968 33064712 39554048 55687936 66129424 79108096 111375872 132258848 222751744 264517696 445503488 529035392 1058070784 2116141568 4232283136 8464566272