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57778945057 is a prime number
BaseRepresentation
bin110101110011111001…
…001011110000100001
312112010201021112011001
4311303321023300201
51421312402220212
642313203152001
74113546633601
oct656371136041
9175121245131
1057778945057
112255a787669
12b246075601
1355aa5661b2
142b218d4c01
151782777657
hexd73e4bc21

57778945057 has 2 divisors, whose sum is σ = 57778945058. Its totient is φ = 57778945056.

The previous prime is 57778945013. The next prime is 57778945061. The reversal of 57778945057 is 75054987775.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55665796096 + 2113148961 = 235936^2 + 45969^2 .

It is a cyclic number.

It is not a de Polignac number, because 57778945057 - 27 = 57778944929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57778945057.

It is not a weakly prime, because it can be changed into another prime (57778945067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28889472528 + 28889472529.

It is an arithmetic number, because the mean of its divisors is an integer number (28889472529).

Almost surely, 257778945057 is an apocalyptic number.

It is an amenable number.

57778945057 is a deficient number, since it is larger than the sum of its proper divisors (1).

57778945057 is an equidigital number, since it uses as much as digits as its factorization.

57778945057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86436000, while the sum is 64.

The spelling of 57778945057 in words is "fifty-seven billion, seven hundred seventy-eight million, nine hundred forty-five thousand, fifty-seven".