Search a number
-
+
900736650675677 is a prime number
BaseRepresentation
bin1100110011001101110001100…
…0000110011000010111011101
311101010020120201220001101120202
43030303130120012120113131
51421030132130033110202
612511412412125153245
7360504034614340514
oct31463343006302735
94333216656041522
10900736650675677
112410032a5172172
12850349699bb825
132c87a14256bbca
1411c5dc5a7db67b
156e20362523802
hex33337181985dd

900736650675677 has 2 divisors, whose sum is σ = 900736650675678. Its totient is φ = 900736650675676.

The previous prime is 900736650675577. The next prime is 900736650675691. The reversal of 900736650675677 is 776576056637009.

900736650675677 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., 782357485187716 + 118379165487961 = 27970654^2 + 10880219^2 .

It is a cyclic number.

It is not a de Polignac number, because 900736650675677 - 224 = 900736633898461 is a prime.

It is a super-2 number, since 2×9007366506756772 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900736650675077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450368325337838 + 450368325337839.

It is an arithmetic number, because the mean of its divisors is an integer number (450368325337839).

Almost surely, 2900736650675677 is an apocalyptic number.

It is an amenable number.

900736650675677 is a deficient number, since it is larger than the sum of its proper divisors (1).

900736650675677 is an equidigital number, since it uses as much as digits as its factorization.

900736650675677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100394800, while the sum is 74.

The spelling of 900736650675677 in words is "nine hundred trillion, seven hundred thirty-six billion, six hundred fifty million, six hundred seventy-five thousand, six hundred seventy-seven".