Search a number
-
+
3146688257 is a prime number
BaseRepresentation
bin1011101110001110…
…1010011100000001
322010022001022210112
42323203222130001
522421023011012
61240124241105
7140656260146
oct27343523401
98108038715
103146688257
111375250509
127399a0195
133b1bc3c1b
1421bcac3cd
151363bc122
hexbb8ea701

3146688257 has 2 divisors, whose sum is σ = 3146688258. Its totient is φ = 3146688256.

The previous prime is 3146688227. The next prime is 3146688283. The reversal of 3146688257 is 7528866413.

3146688257 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., 3145975921 + 712336 = 56089^2 + 844^2 .

It is a cyclic number.

It is not a de Polignac number, because 3146688257 - 28 = 3146688001 is a prime.

It is not a weakly prime, because it can be changed into another prime (3146688227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1573344128 + 1573344129.

It is an arithmetic number, because the mean of its divisors is an integer number (1573344129).

Almost surely, 23146688257 is an apocalyptic number.

It is an amenable number.

3146688257 is a deficient number, since it is larger than the sum of its proper divisors (1).

3146688257 is an equidigital number, since it uses as much as digits as its factorization.

3146688257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1935360, while the sum is 50.

The square root of 3146688257 is about 56095.3496913960. The cubic root of 3146688257 is about 1465.3833065364.

The spelling of 3146688257 in words is "three billion, one hundred forty-six million, six hundred eighty-eight thousand, two hundred fifty-seven".