Search a number
-
+
64136746305 = 3257128197121
BaseRepresentation
bin111011101110110110…
…010001010101000001
320010112210121021212100
4323232312101111001
52022323001340210
645244121021013
74430240230362
oct735666212501
9203483537770
1064136746305
1125222580865
121051b324769
1360817b9c78
143166041b69
151a059da5c0
hexeeed91541

64136746305 has 48 divisors (see below), whose sum is σ = 112791968640. Its totient is φ = 33707788800.

The previous prime is 64136746217. The next prime is 64136746307. The reversal of 64136746305 is 50364763146.

64136746305 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 6 + 7 + 4 + 630 + 5 = 666.

It is not a de Polignac number, because 64136746305 - 28 = 64136746049 is a prime.

It is a super-2 number, since 2×641367463052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64136746307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9003145 + ... + 9010265.

It is an arithmetic number, because the mean of its divisors is an integer number (2349832680).

Almost surely, 264136746305 is an apocalyptic number.

It is an amenable number.

64136746305 is a deficient number, since it is larger than the sum of its proper divisors (48655222335).

64136746305 is a wasteful number, since it uses less digits than its factorization.

64136746305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 64136746305 in words is "sixty-four billion, one hundred thirty-six million, seven hundred forty-six thousand, three hundred five".

Divisors: 1 3 5 9 15 45 71 213 355 639 1065 2819 3195 7121 8457 14095 21363 25371 35605 42285 64089 106815 126855 200149 320445 505591 600447 1000745 1516773 1801341 2527955 3002235 4550319 7583865 9006705 20074099 22751595 60222297 100370495 180666891 301111485 903334455 1425261029 4275783087 7126305145 12827349261 21378915435 64136746305