Search a number
-
+
4136769549025 = 52127232032
BaseRepresentation
bin111100001100101010101…
…011011111001011100001
3112122110201120201200000221
4330030222223133023201
51020234101001032100
612444223344043041
7604605001665031
oct74145253371341
915573646650027
104136769549025
111355437624113
12569897903481
13240132319879
141043138d78c1
15729182b601a
hex3c32aadf2e1

4136769549025 has 27 divisors (see below), whose sum is σ = 5171917492371. Its totient is φ = 3282332160240.

The previous prime is 4136769549023. The next prime is 4136769549037. The reversal of 4136769549025 is 5209459676314.

It is a happy number.

The square root of 4136769549025 is 2033905.

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

4136769549025 is digitally balanced in base 3, 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., 1489237037649 + 2647532511376 = 1220343^2 + 1627124^2 .

It is not a de Polignac number, because 4136769549025 - 21 = 4136769549023 is a prime.

It is a super-2 number, since 2×41367695490252 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4136769549023) 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 26 ways as a sum of consecutive naturals, for example, 1291528074 + ... + 1291531276.

Almost surely, 24136769549025 is an apocalyptic number.

4136769549025 is the 2033905-th square number.

4136769549025 is the 1016953-rd centered octagonal number.

It is an amenable number.

4136769549025 is a deficient number, since it is larger than the sum of its proper divisors (1035147943346).

4136769549025 is an frugal number, since it uses more digits than its factorization.

4136769549025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 61.

The spelling of 4136769549025 in words is "four trillion, one hundred thirty-six billion, seven hundred sixty-nine million, five hundred forty-nine thousand, twenty-five".

Divisors: 1 5 25 127 635 3175 3203 16015 16129 80075 80645 403225 406781 2033905 10169525 10259209 51296045 51661187 256480225 258305935 1291529675 1302919543 6514597715 32572988575 165470781961 827353909805 4136769549025