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55345516417 is a prime number
BaseRepresentation
bin110011100010110110…
…011000111110000001
312021212010100112121101
4303202312120332001
51401321423011132
641231514254401
73666341061502
oct634266307601
9167763315541
1055345516417
1121521112714
12a887127401
1352b0374aa9
142970652ba9
15168dceb7e7
hexce2d98f81

55345516417 has 2 divisors, whose sum is σ = 55345516418. Its totient is φ = 55345516416.

The previous prime is 55345516411. The next prime is 55345516451. The reversal of 55345516417 is 71461554355.

55345516417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44261427456 + 11084088961 = 210384^2 + 105281^2 .

It is a cyclic number.

It is not a de Polignac number, because 55345516417 - 215 = 55345483649 is a prime.

It is not a weakly prime, because it can be changed into another prime (55345516411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27672758208 + 27672758209.

It is an arithmetic number, because the mean of its divisors is an integer number (27672758209).

Almost surely, 255345516417 is an apocalyptic number.

It is an amenable number.

55345516417 is a deficient number, since it is larger than the sum of its proper divisors (1).

55345516417 is an equidigital number, since it uses as much as digits as its factorization.

55345516417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260000, while the sum is 46.

The spelling of 55345516417 in words is "fifty-five billion, three hundred forty-five million, five hundred sixteen thousand, four hundred seventeen".