Search a number
-
+
463114790090404 = 221493272072
BaseRepresentation
bin110100101001100110101000…
…0100011011011011010100100
32020201202100012222201200122221
41221103031100203123122210
5441200133042230343104
64320543555243002124
7166355640136663564
oct15123152043333244
92221670188650587
10463114790090404
111246209746a0391
1243b368ba209344
1316b546ca63ac4a
148250c382bada4
153881a29d0dc54
hex1a533508db6a4

463114790090404 has 27 divisors (see below), whose sum is σ = 811106624334657. Its totient is φ = 231370191677904.

The previous prime is 463114790090401. The next prime is 463114790090473. The reversal of 463114790090404 is 404090097411364.

The square root of 463114790090404 is 21520102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 404312762700900 + 58802027389504 = 20107530^2 + 7668248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463114790090401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64259020969 + ... + 64259028175.

Almost surely, 2463114790090404 is an apocalyptic number.

463114790090404 is the 21520102-nd square number.

It is an amenable number.

463114790090404 is a deficient number, since it is larger than the sum of its proper divisors (347991834244253).

463114790090404 is an frugal number, since it uses more digits than its factorization.

463114790090404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17404 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 463114790090404 in words is "four hundred sixty-three trillion, one hundred fourteen billion, seven hundred ninety million, ninety thousand, four hundred four".

Divisors: 1 2 4 1493 2986 5972 7207 14414 28828 2229049 4458098 8916196 10760051 21520102 43040204 51940849 103881698 207763396 16064756143 32129512286 64259024572 77547687557 155095375114 310190750228 115778697522601 231557395045202 463114790090404