Search a number
-
+
56728146053 is a prime number
BaseRepresentation
bin110100110101010000…
…101101000010000101
312102102111000101220102
4310311100231002011
51412134401133203
642021025013445
74045530166625
oct646520550205
9172374011812
1056728146053
1122070617837
12abb2184285
135470951037
142a62122885
1517203ae888
hexd3542d085

56728146053 has 2 divisors, whose sum is σ = 56728146054. Its totient is φ = 56728146052.

The previous prime is 56728145989. The next prime is 56728146071. The reversal of 56728146053 is 35064182765.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55980506404 + 747639649 = 236602^2 + 27343^2 .

It is a cyclic number.

It is not a de Polignac number, because 56728146053 - 26 = 56728145989 is a prime.

It is a super-2 number, since 2×567281460532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56728145989 and 56728146007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56728146953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28364073026 + 28364073027.

It is an arithmetic number, because the mean of its divisors is an integer number (28364073027).

Almost surely, 256728146053 is an apocalyptic number.

It is an amenable number.

56728146053 is a deficient number, since it is larger than the sum of its proper divisors (1).

56728146053 is an equidigital number, since it uses as much as digits as its factorization.

56728146053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 56728146053 in words is "fifty-six billion, seven hundred twenty-eight million, one hundred forty-six thousand, fifty-three".