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4681056780 = 2232560143271
BaseRepresentation
bin1000101110000001…
…10100001000001100
3110002020020022201100
410113000310020030
534041322304110
62052255143100
7224000216601
oct42700641014
913066208640
104681056780
111a92375274
12aa7814a90
13597a5a6aa
1432599a6a8
151c5e54bc0
hex11703420c

4681056780 has 72 divisors (see below), whose sum is σ = 14223160224. Its totient is φ = 1246176000.

The previous prime is 4681056763. The next prime is 4681056781. The reversal of 4681056780 is 876501864.

It is a happy number.

4681056780 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 0 + 567 + 80 = 666.

It is a super-3 number, since 3×46810567803 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4681056781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86545 + ... + 129815.

It is an arithmetic number, because the mean of its divisors is an integer number (197543892).

Almost surely, 24681056780 is an apocalyptic number.

It is an amenable number.

4681056780 is an abundant number, since it is smaller than the sum of its proper divisors (9542103444).

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

4681056780 is a wasteful number, since it uses less digits than its factorization.

4681056780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43887 (or 43882 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4681056780 is about 68418.2488814205. The cubic root of 4681056780 is about 1672.8152140370.

The spelling of 4681056780 in words is "four billion, six hundred eighty-one million, fifty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 601 1202 1803 2404 3005 3606 5409 6010 7212 9015 10818 12020 18030 21636 27045 36060 43271 54090 86542 108180 129813 173084 216355 259626 389439 432710 519252 649065 778878 865420 1298130 1557756 1947195 2596260 3894390 7788780 26005871 52011742 78017613 104023484 130029355 156035226 234052839 260058710 312070452 390088065 468105678 520117420 780176130 936211356 1170264195 1560352260 2340528390 4681056780