Search a number
-
+
6641346431466 = 2331071149419597
BaseRepresentation
bin110000010100100111100…
…0110000100100111101010
3212111220110211222221122000
41200221033012010213222
51332302434141301331
622042554210511430
71253551520143155
oct140511706044752
925456424887560
106641346431466
112130640a1496a
128b3179595576
13392378cb3866
1418d62b3aac9c
15b7b53b000e6
hex60a4f1849ea

6641346431466 has 32 divisors (see below), whose sum is σ = 14896477990080. Its totient is φ = 2193092589168.

The previous prime is 6641346431441. The next prime is 6641346431483.

6641346431466 is a `hidden beast` number, since 6 + 6 + 4 + 134 + 6 + 43 + 1 + 466 = 666.

6641346431466 is nontrivially palindromic in base 10.

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

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 15 ways as a sum of consecutive naturals, for example, 574704021 + ... + 574715576.

It is an arithmetic number, because the mean of its divisors is an integer number (465514937190).

Almost surely, 26641346431466 is an apocalyptic number.

6641346431466 is an abundant number, since it is smaller than the sum of its proper divisors (8255131558614).

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

6641346431466 is a wasteful number, since it uses less digits than its factorization.

6641346431466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149419715 (or 1149419709 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 6641346431466 in words is "six trillion, six hundred forty-one billion, three hundred forty-six million, four hundred thirty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 1149419597 2298839194 3448258791 6896517582 10344776373 20689552746 31034329119 62068658238 122987896879 245975793758 368963690637 737927381274 1106891071911 2213782143822 3320673215733 6641346431466