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416890203553 is a prime number
BaseRepresentation
bin1100001000100001001…
…01111010110110100001
31110212001210110121111101
412010100211322312201
523312242343003203
6515303335514401
742055633155655
oct6042045726641
91425053417441
10416890203553
1115089071930a
1268967828a01
133040a96ac25
141626b460a65
15ac9e63341d
hex611097ada1

416890203553 has 2 divisors, whose sum is σ = 416890203554. Its totient is φ = 416890203552.

The previous prime is 416890203523. The next prime is 416890203617. The reversal of 416890203553 is 355302098614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327603982689 + 89286220864 = 572367^2 + 298808^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-416890203553 is a prime.

It is not a weakly prime, because it can be changed into another prime (416890203523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208445101776 + 208445101777.

It is an arithmetic number, because the mean of its divisors is an integer number (208445101777).

Almost surely, 2416890203553 is an apocalyptic number.

It is an amenable number.

416890203553 is a deficient number, since it is larger than the sum of its proper divisors (1).

416890203553 is an equidigital number, since it uses as much as digits as its factorization.

416890203553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 416890203553 in words is "four hundred sixteen billion, eight hundred ninety million, two hundred three thousand, five hundred fifty-three".