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8010556064 = 25725108773
BaseRepresentation
bin1110111010111011…
…10110001010100000
3202200021021102002122
413131131312022200
5112401200243224
63402514003412
7402336413600
oct73535661240
922607242078
108010556064
113440828375
121676876568
139a879ab04
1455dc54c00
1531d3d315e
hex1dd7762a0

8010556064 has 36 divisors (see below), whose sum is σ = 18345607434. Its totient is φ = 3433094784.

The previous prime is 8010556063. The next prime is 8010556079. The reversal of 8010556064 is 4606550108.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7833666064 + 176890000 = 88508^2 + 13300^2 .

It is a super-3 number, since 3×80105560643 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8010556063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2552819 + ... + 2555954.

Almost surely, 28010556064 is an apocalyptic number.

It is an amenable number.

8010556064 is an abundant number, since it is smaller than the sum of its proper divisors (10335051370).

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

8010556064 is a wasteful number, since it uses less digits than its factorization.

8010556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108797 (or 5108782 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 8010556064 is about 89501.7098384159. The cubic root of 8010556064 is about 2000.8792853720.

The spelling of 8010556064 in words is "eight billion, ten million, five hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 5108773 10217546 20435092 35761411 40870184 71522822 81740368 143045644 163480736 250329877 286091288 500659754 572182576 1001319508 1144365152 2002639016 4005278032 8010556064