Search a number
-
+
4612107680820 = 2232525622820449
BaseRepresentation
bin100001100011101011100…
…0010100011110000110100
3121022220122201021200002100
41003013113002203300310
51101031044031241240
613450434545542100
7654133220310123
oct103072702436064
917286581250070
104612107680820
111518a90603a52
12625a35644930
13275bc5cc0303
1411d327631aba
157ee88c68e30
hex431d70a3c34

4612107680820 has 36 divisors (see below), whose sum is σ = 13990059965700. Its totient is φ = 1229895381504.

The previous prime is 4612107680819. The next prime is 4612107680849. The reversal of 4612107680820 is 280867012164.

4612107680820 is a `hidden beast` number, since 4 + 612 + 1 + 0 + 7 + 6 + 8 + 0 + 8 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2975355906084 + 1636751774736 = 1724922^2 + 1279356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12811410045 + ... + 12811410404.

It is an arithmetic number, because the mean of its divisors is an integer number (388612776825).

Almost surely, 24612107680820 is an apocalyptic number.

It is an amenable number.

4612107680820 is an abundant number, since it is smaller than the sum of its proper divisors (9377952284880).

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

4612107680820 is a wasteful number, since it uses less digits than its factorization.

4612107680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25622820464 (or 25622820459 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 4612107680820 in words is "four trillion, six hundred twelve billion, one hundred seven million, six hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 25622820449 51245640898 76868461347 102491281796 128114102245 153736922694 230605384041 256228204490 307473845388 384342306735 461210768082 512456408980 768684613470 922421536164 1153026920205 1537369226940 2306053840410 4612107680820