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8064334896 = 243438214759
BaseRepresentation
bin1111000001010101…
…11111110000110000
3202211000110122210020
413200222333300300
5113003432204041
63412114403440
7403561500312
oct74052776060
922730418706
108064334896
11346911a192
121690890580
139b697a1c7
145670537b2
15322ea7866
hex1e0abfc30

8064334896 has 80 divisors (see below), whose sum is σ = 21347800320. Its totient is φ = 2621848320.

The previous prime is 8064334867. The next prime is 8064334907. The reversal of 8064334896 is 6984334608.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1692165 + ... + 1696923.

It is an arithmetic number, because the mean of its divisors is an integer number (266847504).

Almost surely, 28064334896 is an apocalyptic number.

8064334896 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8064334896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673900160).

8064334896 is an abundant number, since it is smaller than the sum of its proper divisors (13283465424).

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

8064334896 is a wasteful number, since it uses less digits than its factorization.

8064334896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The square root of 8064334896 is about 89801.6419448999. The cubic root of 8064334896 is about 2005.3469337442.

The spelling of 8064334896 in words is "eight billion, sixty-four million, three hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 821 1032 1642 2064 2463 3284 4759 4926 6568 9518 9852 13136 14277 19036 19704 28554 35303 38072 39408 57108 70606 76144 105909 114216 141212 204637 211818 228432 282424 409274 423636 564848 613911 818548 847272 1227822 1637096 1694544 2455644 3274192 3907139 4911288 7814278 9822576 11721417 15628556 23442834 31257112 46885668 62514224 93771336 168006977 187542672 336013954 504020931 672027908 1008041862 1344055816 2016083724 2688111632 4032167448 8064334896