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8000002000008 = 2332449247463561
BaseRepresentation
bin111010001101010010101…
…0001110000010010001000
31001022210101220011000100200
41310122211101300102020
52022033001003000013
625003052234532200
71453660336006164
oct164324521602210
931283356130320
108000002000008
112604866629937
12a92554597060
134605211445b5
141d92b8a3dca4
15dd17220ce73
hex746a5470488

8000002000008 has 48 divisors (see below), whose sum is σ = 21714927565500. Its totient is φ = 2660728197120.

The previous prime is 8000001999991. The next prime is 8000002000013.

8000002000008 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7902631790244 + 97370209764 = 2811162^2 + 312042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 123699453 + ... + 123764108.

Almost surely, 28000002000008 is an apocalyptic number.

It is an amenable number.

8000002000008 is an abundant number, since it is smaller than the sum of its proper divisors (13714925565492).

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

8000002000008 is a wasteful number, since it uses less digits than its factorization.

8000002000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247464022 (or 247464015 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 8000002000008 in words is "eight trillion, two million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 449 898 1347 1796 2694 3592 4041 5388 8082 10776 16164 32328 247463561 494927122 742390683 989854244 1484781366 1979708488 2227172049 2969562732 4454344098 5939125464 8908688196 17817376392 111111138889 222222277778 333333416667 444444555556 666666833334 888889111112 1000000250001 1333333666668 2000000500002 2666667333336 4000001000004 8000002000008