Search a number
-
+
4784334336 = 2934115363
BaseRepresentation
bin1000111010010101…
…10010011000000000
3110100102120100220000
410131022302120000
534244242144321
62110424520000
7226363112415
oct43512623000
913312510800
104784334336
1120356a5221
12b16320000
135b327ac82
143355a210c
151d0055826
hex11d2b2600

4784334336 has 100 divisors (see below), whose sum is σ = 14280102012. Its totient is φ = 1594764288.

The previous prime is 4784334307. The next prime is 4784334383. The reversal of 4784334336 is 6334334874.

It is a junction number, because it is equal to n+sod(n) for n = 4784334291 and 4784334300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16210 + ... + 99153.

Almost surely, 24784334336 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 4784334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140051006).

4784334336 is an abundant number, since it is smaller than the sum of its proper divisors (9495767676).

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

4784334336 is an equidigital number, since it uses as much as digits as its factorization.

4784334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115393 (or 115368 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The square root of 4784334336 is about 69168.8827147005. The cubic root of 4784334336 is about 1685.0282010032.

The spelling of 4784334336 in words is "four billion, seven hundred eighty-four million, three hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 115363 230726 346089 461452 692178 922904 1038267 1384356 1845808 2076534 2768712 3114801 3691616 4153068 5537424 6229602 7383232 8306136 9344403 11074848 12459204 14766464 16612272 18688806 22149696 24918408 29532928 33224544 37377612 44299392 49836816 59065856 66449088 74755224 88598784 99673632 132898176 149510448 177197568 199347264 265796352 299020896 398694528 531592704 598041792 797389056 1196083584 1594778112 2392167168 4784334336