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64123057 = 2341531283
BaseRepresentation
bin1111010010011…
…1000010110001
311110122210022001
43310213002301
5112403414212
610210214001
71406015455
oct364470261
9143583261
1064123057
1133217669
1219584301
131039184b
148732665
155969657
hex3d270b1

64123057 has 16 divisors (see below), whose sum is σ = 69890688. Its totient is φ = 58664320.

The previous prime is 64123049. The next prime is 64123069. The reversal of 64123057 is 75032146.

64123057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 64123057 - 23 = 64123049 is a prime.

It is a super-2 number, since 2×641230572 = 8223532878050498, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64123457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49338 + ... + 50620.

It is an arithmetic number, because the mean of its divisors is an integer number (4368168).

Almost surely, 264123057 is an apocalyptic number.

It is an amenable number.

64123057 is a deficient number, since it is larger than the sum of its proper divisors (5767631).

64123057 is a wasteful number, since it uses less digits than its factorization.

64123057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 64123057 is about 8007.6873690223. The cubic root of 64123057 is about 400.2562046130.

The spelling of 64123057 in words is "sixty-four million, one hundred twenty-three thousand, fifty-seven".

Divisors: 1 23 41 53 943 1219 1283 2173 29509 49979 52603 67999 1209869 1563977 2787959 64123057