Search a number
-
+
64137521 = 721968891
BaseRepresentation
bin1111010010101…
…0100100110001
311110200112010202
43310222210301
5112404400041
610210404545
71406105600
oct364524461
9143615122
1064137521
1133227518
1219590755
13103982c6
148737a37
15596da9b
hex3d2a931

64137521 has 12 divisors (see below), whose sum is σ = 78536880. Its totient is φ = 52080840.

The previous prime is 64137511. The next prime is 64137527. The reversal of 64137521 is 12573146.

64137521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64137521 - 214 = 64121137 is a prime.

It is a super-2 number, since 2×641375212 = 8227243200050882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64137527) 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 11 ways as a sum of consecutive naturals, for example, 33515 + ... + 35376.

It is an arithmetic number, because the mean of its divisors is an integer number (6544740).

Almost surely, 264137521 is an apocalyptic number.

It is an amenable number.

64137521 is a deficient number, since it is larger than the sum of its proper divisors (14399359).

64137521 is a wasteful number, since it uses less digits than its factorization.

64137521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68924 (or 68917 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 64137521 is about 8008.5904502603. The cubic root of 64137521 is about 400.2862971193.

The spelling of 64137521 in words is "sixty-four million, one hundred thirty-seven thousand, five hundred twenty-one".

Divisors: 1 7 19 49 133 931 68891 482237 1308929 3375659 9162503 64137521