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64014129 = 32172318191
BaseRepresentation
bin1111010000110…
…0011100110001
311110110020212200
43310030130301
5112341423004
610204013413
71405053054
oct364143461
9143406780
1064014129
1133152843
1219531269
13103540aa
148704a9b
155947239
hex3d0c731

64014129 has 24 divisors (see below), whose sum is σ = 102166272. Its totient is φ = 38417280.

The previous prime is 64014127. The next prime is 64014131. The reversal of 64014129 is 92141046.

64014129 is a `hidden beast` number, since 640 + 1 + 4 + 12 + 9 = 666.

64014129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64014127) and next prime (64014131).

It is not a de Polignac number, because 64014129 - 21 = 64014127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64014127) 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 23 ways as a sum of consecutive naturals, for example, 5577 + ... + 12614.

It is an arithmetic number, because the mean of its divisors is an integer number (4256928).

Almost surely, 264014129 is an apocalyptic number.

64014129 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

It is an amenable number.

64014129 is a deficient number, since it is larger than the sum of its proper divisors (38152143).

64014129 is a wasteful number, since it uses less digits than its factorization.

64014129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18237 (or 18234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 64014129 is about 8000.8830137679. The cubic root of 64014129 is about 400.0294332508.

The spelling of 64014129 in words is "sixty-four million, fourteen thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 23 51 69 153 207 391 1173 3519 18191 54573 163719 309247 418393 927741 1255179 2783223 3765537 7112681 21338043 64014129