Search a number
-
+
64143869184 = 2832434091583
BaseRepresentation
bin111011101111010001…
…011100010100000000
320010120022000011121200
4323233101130110000
52022331312303214
645244533421200
74430354614653
oct735721342400
9203508004550
1064143869184
11252265a633a
121052179a800
1360831120a5
143166d7789a
151a06445d09
hexeef45c500

64143869184 has 216 divisors, whose sum is σ = 189826116480. Its totient is φ = 20819828736.

The previous prime is 64143869173. The next prime is 64143869189. The reversal of 64143869184 is 48196834146.

64143869184 is a `hidden beast` number, since 6 + 41 + 438 + 6 + 91 + 84 = 666.

It is a super-2 number, since 2×641438691842 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64143869184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64143869189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40519657 + ... + 40521239.

Almost surely, 264143869184 is an apocalyptic number.

64143869184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64143869184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94913058240).

64143869184 is an abundant number, since it is smaller than the sum of its proper divisors (125682247296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64143869184 is a wasteful number, since it uses less digits than its factorization.

64143869184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2040 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 64143869184 in words is "sixty-four billion, one hundred forty-three million, eight hundred sixty-nine thousand, one hundred eighty-four".