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54056000000 = 295629233
BaseRepresentation
bin110010010101111111…
…010001101000000000
312011112020220022122002
4302111333101220000
51341201314000000
640455531403132
73622362263432
oct622577215000
9164466808562
1054056000000
1120a1a225972
12a5872b34a8
13513616a822
14288b2a0652
1516159cc8d5
hexc95fd1a00

54056000000 has 280 divisors, whose sum is σ = 140261095260. Its totient is φ = 20787200000.

The previous prime is 54055999981. The next prime is 54056000003. The reversal of 54056000000 is 65045.

It can be written as a sum of positive squares in 14 ways, for example, as 51641653504 + 2414346496 = 227248^2 + 49136^2 .

It is a super-2 number, since 2×540560000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (54056000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 231999884 + ... + 232000116.

Almost surely, 254056000000 is an apocalyptic number.

54056000000 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 54056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70130547630).

54056000000 is an abundant number, since it is smaller than the sum of its proper divisors (86205095260).

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

54056000000 is an frugal number, since it uses more digits than its factorization.

54056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 54056000000 its reverse (65045), we get a palindrome (54056065045).

The spelling of 54056000000 in words is "fifty-four billion, fifty-six million", and thus it is an aban number and an eban number.