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8068043456 = 261123947951
BaseRepresentation
bin1111000001110010…
…01001001011000000
3202211021110001222022
413200321021023000
5113010404342311
63412330101012
7403635144404
oct74071111300
922737401868
108068043456
113470222510
121691b7a768
139b7678215
1456773b104
1532348b5db
hex1e0e492c0

8068043456 has 56 divisors (see below), whose sum is σ = 17538923520. Its totient is φ = 3651872000.

The previous prime is 8068043443. The next prime is 8068043479. The reversal of 8068043456 is 6543408608.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144281 + ... + 192231.

Almost surely, 28068043456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8068043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769461760).

8068043456 is an abundant number, since it is smaller than the sum of its proper divisors (9470880064).

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

8068043456 is a wasteful number, since it uses less digits than its factorization.

8068043456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48213 (or 48203 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 8068043456 is about 89822.2881917400. The cubic root of 8068043456 is about 2005.6542874523.

The spelling of 8068043456 in words is "eight billion, sixty-eight million, forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 239 352 478 704 956 1912 2629 3824 5258 7648 10516 15296 21032 42064 47951 84128 95902 168256 191804 383608 527461 767216 1054922 1534432 2109844 3068864 4219688 8439376 11460289 16878752 22920578 33757504 45841156 91682312 126063179 183364624 252126358 366729248 504252716 733458496 1008505432 2017010864 4034021728 8068043456