Search a number
-
+
57106946916865 = 565381409214849
BaseRepresentation
bin11001111110000001111110…
…10010010000001000000001
321111012101000022121112012001
430333000333102100020001
524441120011402314430
6321242322542304001
715012561244450636
oct1477007722201001
9244171008545161
1057106946916865
1117217a13839a3a
1264a3860b88001
1325b3214b69421
141015dc336018d
156907393c93ca
hex33f03f490201

57106946916865 has 16 divisors (see below), whose sum is σ = 68634442674000. Its totient is φ = 45614822326272.

The previous prime is 57106946916839. The next prime is 57106946916869. The reversal of 57106946916865 is 56861964960175.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12949529616 + 57093997387249 = 113796^2 + 7556057^2 .

It is a cyclic number.

It is not a de Polignac number, because 57106946916865 - 239 = 56557191102977 is a prime.

It is a super-2 number, since 2×571069469168652 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57106946916869) 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 in 15 ways as a sum of consecutive naturals, for example, 265692961 + ... + 265907809.

It is an arithmetic number, because the mean of its divisors is an integer number (4289652667125).

Almost surely, 257106946916865 is an apocalyptic number.

It is an amenable number.

57106946916865 is a deficient number, since it is larger than the sum of its proper divisors (11527495757135).

57106946916865 is a wasteful number, since it uses less digits than its factorization.

57106946916865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296916.

The product of its (nonzero) digits is 587865600, while the sum is 73.

The spelling of 57106946916865 in words is "fifty-seven trillion, one hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, eight hundred sixty-five".

Divisors: 1 5 653 3265 81409 214849 407045 1074245 53160077 140296397 265800385 701481985 17490642241 87453211205 11421389383373 57106946916865