Search a number
-
+
2794117900753 is a prime number
BaseRepresentation
bin101000101010001110011…
…001111010100111010001
3100220010002212202222201001
4220222032121322213101
5331234323140311003
65535333335342001
7405603563200504
oct50521631724721
910803085688631
102794117900753
11987a84792333
12391628521901
1317363a9b553a
149934393713b
154ca34bc561d
hex28a8e67a9d1

2794117900753 has 2 divisors, whose sum is σ = 2794117900754. Its totient is φ = 2794117900752.

The previous prime is 2794117900727. The next prime is 2794117900757. The reversal of 2794117900753 is 3570097114972.

It is a happy number.

2794117900753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2431204429824 + 362913470929 = 1559232^2 + 602423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2794117900753 is a prime.

It is a super-3 number, since 3×27941179007533 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2794117900694 and 2794117900703.

It is not a weakly prime, because it can be changed into another prime (2794117900757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1397058950376 + 1397058950377.

It is an arithmetic number, because the mean of its divisors is an integer number (1397058950377).

Almost surely, 22794117900753 is an apocalyptic number.

It is an amenable number.

2794117900753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2794117900753 is an equidigital number, since it uses as much as digits as its factorization.

2794117900753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 55.

The spelling of 2794117900753 in words is "two trillion, seven hundred ninety-four billion, one hundred seventeen million, nine hundred thousand, seven hundred fifty-three".