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54055644406540 = 225721723179788107
BaseRepresentation
bin11000100101001110011110…
…11110111010001100001100
321002101200001210121200211221
430102213033132322030030
524041121424432002130
6310544453100053124
714246251155163600
oct1422471736721414
9232350053550757
1054055644406540
11162509630489a7
126090419b341a4
13242156b79304a
14d4c442b61500
1563b1a0ca687a
hex3129cf7ba30c

54055644406540 has 288 divisors, whose sum is σ = 146712167723520. Its totient is φ = 16591535364096.

The previous prime is 54055644406501. The next prime is 54055644406549. The reversal of 54055644406540 is 4560444655045.

It is not an unprimeable number, because it can be changed into a prime (54055644406549) 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, 68195167 + ... + 68983273.

It is an arithmetic number, because the mean of its divisors is an integer number (509417249040).

Almost surely, 254055644406540 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 54055644406540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73356083861760).

54055644406540 is an abundant number, since it is smaller than the sum of its proper divisors (92656523316980).

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

54055644406540 is a wasteful number, since it uses less digits than its factorization.

54055644406540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788349 (or 788340 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 52.

The spelling of 54055644406540 in words is "fifty-four trillion, fifty-five billion, six hundred forty-four million, four hundred six thousand, five hundred forty".