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8334334864 = 241748176361
BaseRepresentation
bin1111100001100001…
…11101101110010000
3210111211112002010001
413300300331232100
5114032042203424
63455001415344
7413350451242
oct76060755620
923454462101
108334334864
113597573159
12174719a554
13a2a8a2cbb
14590c58092
1533ba3c844
hex1f0c3db90

8334334864 has 40 divisors (see below), whose sum is σ = 17103880728. Its totient is φ = 3920609280.

The previous prime is 8334334829. The next prime is 8334334999. The reversal of 8334334864 is 4684334338.

It can be written as a sum of positive squares in 4 ways, for example, as 234334864 + 8100000000 = 15308^2 + 90000^2 .

It is a super-3 number, since 3×83343348643 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1307044 + ... + 1313404.

Almost surely, 28334334864 is an apocalyptic number.

It is an amenable number.

8334334864 is an abundant number, since it is smaller than the sum of its proper divisors (8769545864).

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

8334334864 is a wasteful number, since it uses less digits than its factorization.

8334334864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11197 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 46.

The square root of 8334334864 is about 91292.5783620991. The cubic root of 8334334864 is about 2027.4818820952.

The spelling of 8334334864 in words is "eight billion, three hundred thirty-four million, three hundred thirty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 4817 6361 9634 12722 19268 25444 38536 50888 77072 81889 101776 108137 163778 216274 327556 432548 655112 865096 1310224 1730192 30640937 61281874 122563748 245127496 490254992 520895929 1041791858 2083583716 4167167432 8334334864