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429378646873993 is a prime number
BaseRepresentation
bin110000110100001001000000…
…1101110001001011110001001
32002022022012100011102121221221
41201220102001232021132021
5422234414432044431433
64121113454404202041
7156304404101032045
oct14150220156113611
92068265304377857
10429378646873993
111148a4509311583
12401a8560099321
13155783042089ab
147806074879025
1534991cd63772d
hex1868481b89789

429378646873993 has 2 divisors, whose sum is σ = 429378646873994. Its totient is φ = 429378646873992.

The previous prime is 429378646873901. The next prime is 429378646874063. The reversal of 429378646873993 is 399378646873924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397179071139904 + 32199575734089 = 19929352^2 + 5674467^2 .

It is a cyclic number.

It is not a de Polignac number, because 429378646873993 - 221 = 429378644776841 is a prime.

It is not a weakly prime, because it can be changed into another prime (429378646877993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214689323436996 + 214689323436997.

It is an arithmetic number, because the mean of its divisors is an integer number (214689323436997).

Almost surely, 2429378646873993 is an apocalyptic number.

It is an amenable number.

429378646873993 is a deficient number, since it is larger than the sum of its proper divisors (1).

429378646873993 is an equidigital number, since it uses as much as digits as its factorization.

429378646873993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 71108222976, while the sum is 88.

The spelling of 429378646873993 in words is "four hundred twenty-nine trillion, three hundred seventy-eight billion, six hundred forty-six million, eight hundred seventy-three thousand, nine hundred ninety-three".