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64135247 = 1123534783
BaseRepresentation
bin1111010010101…
…0000001001111
311110200102000112
43310222001033
5112404311442
610210350235
71406066141
oct364520117
9143612015
1064135247
1133225840
121958b37b
1310397267
148736c91
15596d082
hex3d2a04f

64135247 has 16 divisors (see below), whose sum is σ = 74400768. Its totient is φ = 54706080.

The previous prime is 64135243. The next prime is 64135259. The reversal of 64135247 is 74253146.

64135247 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 64135247 - 22 = 64135243 is a prime.

It is a super-2 number, since 2×641352472 = 8226659815502018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64135243) 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, 11018 + ... + 15800.

It is an arithmetic number, because the mean of its divisors is an integer number (4650048).

Almost surely, 264135247 is an apocalyptic number.

64135247 is a deficient number, since it is larger than the sum of its proper divisors (10265521).

64135247 is a wasteful number, since it uses less digits than its factorization.

64135247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870.

The product of its digits is 20160, while the sum is 32.

The square root of 64135247 is about 8008.4484764529. The cubic root of 64135247 is about 400.2815663378.

The spelling of 64135247 in words is "sixty-four million, one hundred thirty-five thousand, two hundred forty-seven".

Divisors: 1 11 23 53 253 583 1219 4783 13409 52613 110009 253499 1210099 2788489 5830477 64135247