Search a number
-
+
54012731256000 = 2633531147677219
BaseRepresentation
bin11000100011111110100011…
…01010001110110011000000
321002020120022002221210002000
430101333101222032303000
524034421033200143000
6310513034534224000
714243201555341536
oct1421772152166300
9232216262853060
1054012731256000
1116234741759830
1260840424b5000
13241a4c001718a
14d4a331718156
15639edd684000
hex311fd1a8ecc0

54012731256000 has 1792 divisors, whose sum is σ = 224107764940800. Its totient is φ = 12622376448000.

The previous prime is 54012731255981. The next prime is 54012731256007. The reversal of 54012731256000 is 65213721045.

54012731256000 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 27 + 3 + 1 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54012731256007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7482020391 + ... + 7482027609.

Almost surely, 254012731256000 is an apocalyptic number.

54012731256000 is a gapful number since it is divisible by the number (50) 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 54012731256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112053882470400).

54012731256000 is an abundant number, since it is smaller than the sum of its proper divisors (170095033684800).

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

54012731256000 is a wasteful number, since it uses less digits than its factorization.

54012731256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 54012731256000 its reverse (65213721045), we get a palindrome (54077944977045).

The spelling of 54012731256000 in words is "fifty-four trillion, twelve billion, seven hundred thirty-one million, two hundred fifty-six thousand".