Search a number
-
+
64549868544 = 2103372293153
BaseRepresentation
bin111100000111011110…
…001101010000000000
320011121120222002001000
4330013132031100000
52024144231243134
645353115412000
74443414554400
oct740736152000
9204546862030
1064549868544
11254147996a7
1210615754000
1361192742b5
1431a4c60800
151a2bde1e99
hexf0778d400

64549868544 has 1056 divisors, whose sum is σ = 241945574400. Its totient is φ = 16907304960.

The previous prime is 64549868531. The next prime is 64549868549. The reversal of 64549868544 is 44586894546.

64549868544 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 9 + 86 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64549868549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217922022 + ... + 1217922074.

Almost surely, 264549868544 is an apocalyptic number.

64549868544 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 64549868544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120972787200).

64549868544 is an abundant number, since it is smaller than the sum of its proper divisors (177395705856).

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

64549868544 is a wasteful number, since it uses less digits than its factorization.

64549868544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 64549868544 in words is "sixty-four billion, five hundred forty-nine million, eight hundred sixty-eight thousand, five hundred forty-four".