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416112550081 is a prime number
BaseRepresentation
bin1100000111000100011…
…11011010000011000001
31110210001121011201110221
412003202033122003001
523304144303100311
6515054240023041
742030441213454
oct6034217320301
91423047151427
10416112550081
11150521760798
126878b301a81
1330315810547
14161d607149b
15ac56222671
hex60e23da0c1

416112550081 has 2 divisors, whose sum is σ = 416112550082. Its totient is φ = 416112550080.

The previous prime is 416112550039. The next prime is 416112550099. The reversal of 416112550081 is 180055211614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215466785856 + 200645764225 = 464184^2 + 447935^2 .

It is a cyclic number.

It is not a de Polignac number, because 416112550081 - 215 = 416112517313 is a prime.

It is a super-2 number, since 2×4161125500812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416112550031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208056275040 + 208056275041.

It is an arithmetic number, because the mean of its divisors is an integer number (208056275041).

Almost surely, 2416112550081 is an apocalyptic number.

It is an amenable number.

416112550081 is a deficient number, since it is larger than the sum of its proper divisors (1).

416112550081 is an equidigital number, since it uses as much as digits as its factorization.

416112550081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 34.

Adding to 416112550081 its reverse (180055211614), we get a palindrome (596167761695).

The spelling of 416112550081 in words is "four hundred sixteen billion, one hundred twelve million, five hundred fifty thousand, eighty-one".