Search a number
-
+
6146370685729 is a prime number
BaseRepresentation
bin101100101110001000000…
…1111011100101100100001
3210202120212010210210112201
41121130100033130230201
51301200231343420404
621023334222453201
71203026536546231
oct131342017345441
923676763723481
106146370685729
111a5a73002001a
1283325b134201
133577a5a37301
141736b355dcc1
15a9d34114ca4
hex597103dcb21

6146370685729 has 2 divisors, whose sum is σ = 6146370685730. Its totient is φ = 6146370685728.

The previous prime is 6146370685681. The next prime is 6146370685739. The reversal of 6146370685729 is 9275860736416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3707704291600 + 2438666394129 = 1925540^2 + 1561623^2 .

It is a cyclic number.

It is not a de Polignac number, because 6146370685729 - 217 = 6146370554657 is a prime.

It is a super-2 number, since 2×61463706857292 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6146370685739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3073185342864 + 3073185342865.

It is an arithmetic number, because the mean of its divisors is an integer number (3073185342865).

It is a 1-persistent number, because it is pandigital, but 2⋅6146370685729 = 12292741371458 is not.

Almost surely, 26146370685729 is an apocalyptic number.

It is an amenable number.

6146370685729 is a deficient number, since it is larger than the sum of its proper divisors (1).

6146370685729 is an equidigital number, since it uses as much as digits as its factorization.

6146370685729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91445760, while the sum is 64.

The spelling of 6146370685729 in words is "six trillion, one hundred forty-six billion, three hundred seventy million, six hundred eighty-five thousand, seven hundred twenty-nine".