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416098082557 is a prime number
BaseRepresentation
bin1100000111000010110…
…00001101111011111101
31110210000120221200202201
412003201120031323331
523304132102120212
6515053001551501
742030204226213
oct6034130157375
91423016850681
10416098082557
1115051457a063
12687864a5591
1330312816391
14161d4186cb3
15ac54d15b57
hex60e160defd

416098082557 has 2 divisors, whose sum is σ = 416098082558. Its totient is φ = 416098082556.

The previous prime is 416098082537. The next prime is 416098082573. The reversal of 416098082557 is 755280890614.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408181709881 + 7916372676 = 638891^2 + 88974^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416098082557 is a prime.

It is a super-2 number, since 2×4160980825572 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416098082498 and 416098082507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416098082537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208049041278 + 208049041279.

It is an arithmetic number, because the mean of its divisors is an integer number (208049041279).

Almost surely, 2416098082557 is an apocalyptic number.

It is an amenable number.

416098082557 is a deficient number, since it is larger than the sum of its proper divisors (1).

416098082557 is an equidigital number, since it uses as much as digits as its factorization.

416098082557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 416098082557 in words is "four hundred sixteen billion, ninety-eight million, eighty-two thousand, five hundred fifty-seven".