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416352542399 is a prime number
BaseRepresentation
bin1100000111100001000…
…10111001111010111111
31110210200022202121001022
412003300202321322333
523310142222324044
6515134131534355
742036414134513
oct6036042717277
91423608677038
10416352542399
11150635179552
126883775a3bb
133035345aa31
1416219ca4143
15ac6c32b3ee
hex60f08b9ebf

416352542399 has 2 divisors, whose sum is σ = 416352542400. Its totient is φ = 416352542398.

The previous prime is 416352542381. The next prime is 416352542401. The reversal of 416352542399 is 993245253614.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 416352542399 - 228 = 416084106943 is a prime.

It is a super-2 number, since 2×4163525423992 (a number of 24 digits) contains 22 as substring.

Together with 416352542401, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416352542399.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416352542329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208176271199 + 208176271200.

It is an arithmetic number, because the mean of its divisors is an integer number (208176271200).

Almost surely, 2416352542399 is an apocalyptic number.

416352542399 is a deficient number, since it is larger than the sum of its proper divisors (1).

416352542399 is an equidigital number, since it uses as much as digits as its factorization.

416352542399 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6998400, while the sum is 53.

The spelling of 416352542399 in words is "four hundred sixteen billion, three hundred fifty-two million, five hundred forty-two thousand, three hundred ninety-nine".