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8066000046 = 23138910710859
BaseRepresentation
bin1111000001100010…
…10110010010101110
3202211010121020221110
413200301112102232
5113004344000141
63412214212450
7403611604056
oct74061262256
922733536843
108066000046
11346a057245
121691354126
139b71110c0
14567368566
153231d5e16
hex1e0c564ae

8066000046 has 64 divisors (see below), whose sum is σ = 17733945600. Its totient is φ = 2430802176.

The previous prime is 8066000039. The next prime is 8066000051. The reversal of 8066000046 is 6400006608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8065999977 and 8066000022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737365 + ... + 748223.

It is an arithmetic number, because the mean of its divisors is an integer number (277092900).

Almost surely, 28066000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866972800).

8066000046 is an abundant number, since it is smaller than the sum of its proper divisors (9667945554).

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

8066000046 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (8066000045) it forms an eRAP, since the sums of their prime factors are consecutive (11072 and 11073).

8066000046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 8066000046 is about 89810.9127333644. The cubic root of 8066000046 is about 2005.4849477563.

The spelling of 8066000046 in words is "eight billion, sixty-six million, forty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 13 26 39 78 89 107 178 214 267 321 534 642 1157 1391 2314 2782 3471 4173 6942 8346 9523 10859 19046 21718 28569 32577 57138 65154 123799 141167 247598 282334 371397 423501 742794 847002 966451 1161913 1932902 2323826 2899353 3485739 5798706 6971478 12563863 15104869 25127726 30209738 37691589 45314607 75383178 90629214 103410257 206820514 310230771 620461542 1344333341 2688666682 4033000023 8066000046