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1039875786049 = 401225432
BaseRepresentation
bin11110010000111010110…
…11010100010101000001
310200102002201202020110211
433020131123110111001
5114014131200123144
62113413510554121
7135062043225022
oct17103533242501
93612081666424
101039875786049
11371010854181
12149650368941
13770a16aa109
143848a31cc49
151c0b23b4034
hexf21d6d4541

1039875786049 has 9 divisors (see below), whose sum is σ = 1042885559779. Its totient is φ = 1036874682400.

The previous prime is 1039875785911. The next prime is 1039875786067. The reversal of 1039875786049 is 9406875789301.

The square root of 1039875786049 is 1019743.

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., 1029528827649 + 10346958400 = 1014657^2 + 101720^2 .

It is a de Polignac number, because none of the positive numbers 2k-1039875786049 is a prime.

It is a super-2 number, since 2×10398757860492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1039875784049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 408915672 + ... + 408918214.

Almost surely, 21039875786049 is an apocalyptic number.

1039875786049 is the 1019743-rd square number.

1039875786049 is the 509872-nd centered octagonal number.

It is an amenable number.

1039875786049 is a deficient number, since it is larger than the sum of its proper divisors (3009773730).

1039875786049 is an frugal number, since it uses more digits than its factorization.

1039875786049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 1039875786049 in words is "one trillion, thirty-nine billion, eight hundred seventy-five million, seven hundred eighty-six thousand, forty-nine".

Divisors: 1 401 2543 160801 1019743 6466849 408916943 2593206449 1039875786049