Search a number
-
+
6456126042 = 232359999091
BaseRepresentation
bin1100000001101000…
…01010101001011010
3121122221100011222100
412000310022221122
5101210232013132
62544345104230
7315663110622
oct60064125132
917587304870
106456126042
112813351063
121302188076
137bb72bc32
14453623882
1527bbd637c
hex180d0aa5a

6456126042 has 24 divisors (see below), whose sum is σ = 14027251680. Its totient is φ = 2146045320.

The previous prime is 6456126031. The next prime is 6456126043. The reversal of 6456126042 is 2406216546.

6456126042 is a `hidden beast` number, since 6 + 45 + 6 + 1 + 2 + 604 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6456125988 and 6456126006.

It is not an unprimeable number, because it can be changed into a prime (6456126043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 493084 + ... + 506007.

It is an arithmetic number, because the mean of its divisors is an integer number (584468820).

Almost surely, 26456126042 is an apocalyptic number.

6456126042 is an abundant number, since it is smaller than the sum of its proper divisors (7571125638).

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

6456126042 is a wasteful number, since it uses less digits than its factorization.

6456126042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999458 (or 999455 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6456126042 is about 80350.0220410673. The cubic root of 6456126042 is about 1862.0471200248.

The spelling of 6456126042 in words is "six billion, four hundred fifty-six million, one hundred twenty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 359 718 1077 2154 3231 6462 999091 1998182 2997273 5994546 8991819 17983638 358673669 717347338 1076021007 2152042014 3228063021 6456126042