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8192256002 = 2724122232
BaseRepresentation
bin1111010000100101…
…11110100000000010
3210010221011201112222
413220102332200002
5113234204143002
63432524251042
7410004012200
oct75022764002
923127151488
108192256002
113524351207
1217076a0a82
13a07318678
1457a032070
1532e3251a2
hex1e84be802

8192256002 has 54 divisors (see below), whose sum is σ = 14717802249. Its totient is φ = 3409973280.

The previous prime is 8192255971. The next prime is 8192256071. The reversal of 8192256002 is 2006522918.

It is a happy number.

8192256002 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5850567121 + 2341688881 = 76489^2 + 48391^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64001.

It is a super-2 number, since 2×81922560022 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36736463 + ... + 36736685.

Almost surely, 28192256002 is an apocalyptic number.

8192256002 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

8192256002 is a deficient number, since it is larger than the sum of its proper divisors (6525546247).

8192256002 is an equidigital number, since it uses as much as digits as its factorization.

8192256002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 8192256002 is about 90511.0822054405. The cubic root of 8192256002 is about 2015.8946784613.

The spelling of 8192256002 in words is "eight billion, one hundred ninety-two million, two hundred fifty-six thousand, two".

Divisors: 1 2 7 14 41 49 82 98 223 287 446 574 1561 1681 2009 3122 3362 4018 9143 10927 11767 18286 21854 23534 49729 64001 82369 99458 128002 164738 348103 374863 448007 696206 749726 896014 2038889 2436721 2624041 4077778 4873442 5248082 14272223 18368287 28544446 36736574 83594449 99905561 167188898 199811122 585161143 1170322286 4096128001 8192256002