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54143792640 = 2932572199241
BaseRepresentation
bin110010011011001110…
…001011011000000000
312011202101002122111100
4302123032023120000
51341341302331030
640512345214400
73624506433600
oct623316133000
9164671078440
1054143792640
1120a64839873
12a5b0791400
13514b3c8b32
142898bd4c00
15161d570360
hexc9b38b600

54143792640 has 720 divisors, whose sum is σ = 220135687200. Its totient is φ = 12262440960.

The previous prime is 54143792623. The next prime is 54143792663. The reversal of 54143792640 is 4629734145.

54143792640 is a `hidden beast` number, since 5 + 4 + 14 + 379 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224662920 + ... + 224663160.

It is an arithmetic number, because the mean of its divisors is an integer number (305744010).

Almost surely, 254143792640 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 54143792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110067843600).

54143792640 is an abundant number, since it is smaller than the sum of its proper divisors (165991894560).

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

54143792640 is a wasteful number, since it uses less digits than its factorization.

54143792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54143792640 in words is "fifty-four billion, one hundred forty-three million, seven hundred ninety-two thousand, six hundred forty".