Search a number
-
+
4684554864 = 243311985807
BaseRepresentation
bin1000101110011100…
…01010001001110000
3110002110211001012000
410113032022021300
534043221223424
62052502134000
7224042026233
oct42716121160
913073731160
104684554864
111a94344450
12aa8a21300
135986b3972
1432622b41a
151c63e63c9
hex11738a270

4684554864 has 80 divisors (see below), whose sum is σ = 14668823040. Its totient is φ = 1419560640.

The previous prime is 4684554859. The next prime is 4684554869.

4684554864 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 554 + 86 + 4 = 666.

4684554864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4684554859) and next prime (4684554869).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4684554864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4684554869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488152 + ... + 497655.

It is an arithmetic number, because the mean of its divisors is an integer number (183360288).

Almost surely, 24684554864 is an apocalyptic number.

4684554864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4684554864 is an abundant number, since it is smaller than the sum of its proper divisors (9984268176).

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

4684554864 is a wasteful number, since it uses less digits than its factorization.

4684554864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985835 (or 985823 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The square root of 4684554864 is about 68443.8080764067. The cubic root of 4684554864 is about 1673.2318002481.

The spelling of 4684554864 in words is "four billion, six hundred eighty-four million, five hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 985807 1971614 2957421 3943228 5914842 7886456 8872263 10843877 11829684 15772912 17744526 21687754 23659368 26616789 32531631 35489052 43375508 47318736 53233578 65063262 70978104 86751016 97594893 106467156 130126524 141956208 173502032 195189786 212934312 260253048 292784679 390379572 425868624 520506096 585569358 780759144 1171138716 1561518288 2342277432 4684554864