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10264260042 = 232570236669
BaseRepresentation
bin10011000111100110…
…00010110111001010
3222111100000102202100
421203303002313022
5132010122310132
64414302414230
7512233525251
oct114363026712
928440012670
1010264260042
1143979a8543
121ba5591376
13c7768376a
146d52b1798
154011ac37c
hex263cc2dca

10264260042 has 12 divisors (see below), whose sum is σ = 22239230130. Its totient is φ = 3421420008.

The previous prime is 10264259969. The next prime is 10264260049. The reversal of 10264260042 is 24006246201.

10264260042 is a `hidden beast` number, since 10 + 2 + 6 + 4 + 2 + 600 + 42 = 666.

10264260042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9704417121 + 559842921 = 98511^2 + 23661^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10264259988 and 10264260015.

It is not an unprimeable number, because it can be changed into a prime (10264260049) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 285118317 + ... + 285118352.

Almost surely, 210264260042 is an apocalyptic number.

10264260042 is an abundant number, since it is smaller than the sum of its proper divisors (11974970088).

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

10264260042 is a wasteful number, since it uses less digits than its factorization.

10264260042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570236677 (or 570236674 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10264260042 in words is "ten billion, two hundred sixty-four million, two hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 570236669 1140473338 1710710007 3421420014 5132130021 10264260042