Search a number
-
+
4836608066384 = 242936643284467
BaseRepresentation
bin100011001100001110001…
…0011100100001101010000
3122010101010112100220020022
41012120130103210031100
51113220333131111014
614141523532203012
71006301441145503
oct106303423441520
918111115326208
104836608066384
1115a5215188486
1266144a309468
13291123197243
1412a1435a513a
1585c280c1a8e
hex4661c4e4350

4836608066384 has 40 divisors (see below), whose sum is σ = 9694362214560. Its totient is φ = 2334842310528.

The previous prime is 4836608066371. The next prime is 4836608066393.

It is a happy number.

4836608066384 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×48366080663843 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16860119 + ... + 17144585.

It is an arithmetic number, because the mean of its divisors is an integer number (242359055364).

Almost surely, 24836608066384 is an apocalyptic number.

It is an amenable number.

4836608066384 is an abundant number, since it is smaller than the sum of its proper divisors (4857754148176).

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

4836608066384 is a wasteful number, since it uses less digits than its factorization.

4836608066384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321147 (or 321141 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 62.

The spelling of 4836608066384 in words is "four trillion, eight hundred thirty-six billion, six hundred eight million, sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 36643 73286 146572 284467 293144 568934 586288 1062647 1137868 2125294 2275736 4250588 4551472 8249543 8501176 16499086 17002352 32998172 65996344 131992688 10423724281 20847448562 41694897124 83389794248 166779588496 302288004149 604576008298 1209152016596 2418304033192 4836608066384