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64067641 = 11291071877
BaseRepresentation
bin1111010001100…
…1100000111001
311110112222021121
43310121200321
5112400131031
610205105241
71405365061
oct364314071
9143488247
1064067641
1133189a70
1219558221
1310372561
14871a3a1
155958011
hex3d19839

64067641 has 16 divisors (see below), whose sum is σ = 73016640. Its totient is φ = 55679680.

The previous prime is 64067621. The next prime is 64067659. The reversal of 64067641 is 14676046.

It is a happy number.

64067641 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 64067641 - 217 = 63936569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64067597 and 64067606.

It is not an unprimeable number, because it can be changed into a prime (64067621) 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, 33195 + ... + 35071.

It is an arithmetic number, because the mean of its divisors is an integer number (4563540).

Almost surely, 264067641 is an apocalyptic number.

It is an amenable number.

64067641 is a deficient number, since it is larger than the sum of its proper divisors (8948999).

64067641 is a wasteful number, since it uses less digits than its factorization.

64067641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 64067641 is about 8004.2264460721. The cubic root of 64067641 is about 400.1408691339.

The spelling of 64067641 in words is "sixty-four million, sixty-seven thousand, six hundred forty-one".

Divisors: 1 11 29 107 319 1177 1877 3103 20647 34133 54433 200839 598763 2209229 5824331 64067641