[go: up one dir, main page]

Search a number
-
+
5466260305 = 5112371132161
BaseRepresentation
bin1010001011101000…
…01000001101010001
3112002221201210110101
411011310020031101
542143330312210
62302224532401
7252313305652
oct50564101521
915087653411
105466260305
11235561a300
121086781101
1369162c76c
1439bd93529
1521ed57a3a
hex145d08351

5466260305 has 48 divisors (see below), whose sum is σ = 7473895632. Its totient is φ = 3832012800.

The previous prime is 5466260299. The next prime is 5466260333. The reversal of 5466260305 is 5030626645.

It can be written as a sum of positive squares in 8 ways, for example, as 60481729 + 5405778576 = 7777^2 + 73524^2 .

It is not a de Polignac number, because 5466260305 - 23 = 5466260297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2528425 + ... + 2530585.

It is an arithmetic number, because the mean of its divisors is an integer number (155706159).

Almost surely, 25466260305 is an apocalyptic number.

5466260305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5466260305 is a deficient number, since it is larger than the sum of its proper divisors (2007635327).

5466260305 is a wasteful number, since it uses less digits than its factorization.

5466260305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 5466260305 is about 73934.1619618428. The cubic root of 5466260305 is about 1761.5572805372.

The spelling of 5466260305 in words is "five billion, four hundred sixty-six million, two hundred sixty thousand, three hundred five".

Divisors: 1 5 11 37 55 113 121 185 407 565 605 1243 2035 2161 4181 4477 6215 10805 13673 20905 22385 23771 45991 68365 79957 118855 229955 244193 261481 399785 505901 879527 1220965 1307405 2529505 2686123 4397635 9035141 9674797 13430615 29547353 45175705 48373985 99386551 147736765 496932755 1093252061 5466260305