Search a number
-
+
54317194272 = 2533113149317
BaseRepresentation
bin110010100101100011…
…101001110000100000
312012012110101100211000
4302211203221300200
51342220200204042
640541501552000
73632013350655
oct624543516040
9165173340730
1054317194272
1121043705000
12a63a875600
1351782cc553
1428b3c51c2c
15162d8c374c
hexca58e9c20

54317194272 has 384 divisors, whose sum is σ = 175978656000. Its totient is φ = 16297712640.

The previous prime is 54317194223. The next prime is 54317194273. The reversal of 54317194272 is 27249171345.

54317194272 is a `hidden beast` number, since 5 + 431 + 7 + 194 + 27 + 2 = 666.

It is a super-3 number, since 3×543171942723 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54317194273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171347458 + ... + 171347774.

It is an arithmetic number, because the mean of its divisors is an integer number (458277750).

Almost surely, 254317194272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54317194272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87989328000).

54317194272 is an abundant number, since it is smaller than the sum of its proper divisors (121661461728).

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

54317194272 is a wasteful number, since it uses less digits than its factorization.

54317194272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 482 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 54317194272 in words is "fifty-four billion, three hundred seventeen million, one hundred ninety-four thousand, two hundred seventy-two".