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64056069 = 3371122801
BaseRepresentation
bin1111010001011…
…0101100000101
311110112101102000
43310112230011
5112344243234
610204535513
71405316250
oct364265405
9143471360
1064056069
1133181300
1219551599
131036a1cc
148716097
155954899
hex3d16b05

64056069 has 48 divisors (see below), whose sum is σ = 119253120. Its totient is φ = 33264000.

The previous prime is 64056067. The next prime is 64056077. The reversal of 64056069 is 96065046.

It is a happy number.

64056069 is a `hidden beast` number, since 6 + 40 + 5 + 606 + 9 = 666.

64056069 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 64056069 - 21 = 64056067 is a prime.

It is a super-2 number, since 2×640560692 = 8206359951465522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64056061) 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 47 ways as a sum of consecutive naturals, for example, 21469 + ... + 24269.

It is an arithmetic number, because the mean of its divisors is an integer number (2484440).

Almost surely, 264056069 is an apocalyptic number.

It is an amenable number.

64056069 is a deficient number, since it is larger than the sum of its proper divisors (55197051).

64056069 is a wasteful number, since it uses less digits than its factorization.

64056069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 64056069 is about 8003.5035453231. The cubic root of 64056069 is about 400.1167763216.

The spelling of 64056069 in words is "sixty-four million, fifty-six thousand, sixty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 693 847 1089 2079 2541 2801 3267 7623 8403 19607 22869 25209 30811 58821 75627 92433 176463 215677 277299 338921 529389 647031 831897 1016763 1941093 2372447 3050289 5823279 7117341 9150867 21352023 64056069