Search a number
-
+
64036311129 = 337338816461
BaseRepresentation
bin111011101000110111…
…001001000001011001
320010021210121122201000
4323220313021001121
52022121243424004
645230132215213
74424610443430
oct735067110131
9203253548630
1064036311129
112518091238a
12104b176a509
136066a5337b
14315697a117
1519ebc9bc39
hexee8dc9059

64036311129 has 16 divisors (see below), whose sum is σ = 108421267840. Its totient is φ = 36592177680.

The previous prime is 64036311103. The next prime is 64036311151. The reversal of 64036311129 is 92111363046.

64036311129 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 631 + 1 + 12 + 9 = 666.

64036311129 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 64036311129 - 212 = 64036307033 is a prime.

It is a super-3 number, since 3×640363111293 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 64036311093 and 64036311102.

It is not an unprimeable number, because it can be changed into a prime (64036311179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169408042 + ... + 169408419.

It is an arithmetic number, because the mean of its divisors is an integer number (6776329240).

Almost surely, 264036311129 is an apocalyptic number.

It is an amenable number.

64036311129 is a deficient number, since it is larger than the sum of its proper divisors (44384956711).

64036311129 is a wasteful number, since it uses less digits than its factorization.

64036311129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338816477 (or 338816471 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 64036311129 in words is "sixty-four billion, thirty-six million, three hundred eleven thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 189 338816461 1016449383 2371715227 3049348149 7115145681 9148044447 21345437043 64036311129