Search a number
-
+
4263795456 = 28315136767
BaseRepresentation
bin1111111000100100…
…0101101100000000
3102000011002020210020
43332021011230000
532213012423311
61543031533440
7210442443354
oct37611055400
912004066706
104263795456
11189888a6a8
129abb2a280
1352c4843bb
142c63c1464
1519e4d1c06
hexfe245b00

4263795456 has 72 divisors (see below), whose sum is σ = 11423376384. Its totient is φ = 1411814400.

The previous prime is 4263795433. The next prime is 4263795469. The reversal of 4263795456 is 6545973624.

It is a junction number, because it is equal to n+sod(n) for n = 4263795399 and 4263795408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97585 + ... + 134351.

Almost surely, 24263795456 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 4263795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711688192).

4263795456 is an abundant number, since it is smaller than the sum of its proper divisors (7159580928).

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

4263795456 is a wasteful number, since it uses less digits than its factorization.

4263795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36937 (or 36923 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The square root of 4263795456 is about 65297.7446471163. The cubic root of 4263795456 is about 1621.5566321121.

The spelling of 4263795456 in words is "four billion, two hundred sixty-three million, seven hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 604 768 906 1208 1812 2416 3624 4832 7248 9664 14496 19328 28992 36767 38656 57984 73534 110301 115968 147068 220602 294136 441204 588272 882408 1176544 1764816 2353088 3529632 4706176 5551817 7059264 9412352 11103634 14118528 16655451 22207268 28237056 33310902 44414536 66621804 88829072 133243608 177658144 266487216 355316288 532974432 710632576 1065948864 1421265152 2131897728 4263795456