Search a number
-
+
8066000045 = 537342110273
BaseRepresentation
bin1111000001100010…
…10110010010101101
3202211010121020221102
413200301112102231
5113004344000140
63412214212445
7403611604055
oct74061262255
922733536842
108066000045
11346a057244
121691354125
139b71110bc
14567368565
153231d5e15
hex1e0c564ad

8066000045 has 16 divisors (see below), whose sum is σ = 9729149232. Its totient is φ = 6419589120.

The previous prime is 8066000039. The next prime is 8066000051. The reversal of 8066000045 is 5400006608.

It is an interprime number because it is at equal distance from previous prime (8066000039) and next prime (8066000051).

It can be written as a sum of positive squares in 8 ways, for example, as 2228123209 + 5837876836 = 47203^2 + 76406^2 .

It is not a de Polignac number, because 8066000045 - 24 = 8066000029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8065999981 and 8066000017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780029 + ... + 790301.

It is an arithmetic number, because the mean of its divisors is an integer number (608071827).

Almost surely, 28066000045 is an apocalyptic number.

It is an amenable number.

8066000045 is a deficient number, since it is larger than the sum of its proper divisors (1663149187).

8066000045 is a wasteful number, since it uses less digits than its factorization.

With its successor (8066000046) it forms an eRAP, since the sums of their prime factors are consecutive (11072 and 11073).

8066000045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 8066000045 is about 89810.9127277972. The cubic root of 8066000045 is about 2005.4849476734.

The spelling of 8066000045 in words is "eight billion, sixty-six million, forty-five", and thus it is an aban number and an uban number.

Divisors: 1 5 373 421 1865 2105 10273 51365 157033 785165 3831829 4324933 19159145 21624665 1613200009 8066000045