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54943004160 = 2933511127569
BaseRepresentation
bin110011001010110110…
…111011011000000000
312020211001221210121000
4303022312323120000
51400010402113120
641123535132000
73653352554412
oct631266733000
9166731853530
1054943004160
1121334991260
12a794374000
135247b63b65
142932dd69b2
1516687dd990
hexccadbb600

54943004160 has 640 divisors, whose sum is σ = 214957670400. Its totient is φ = 13191413760.

The previous prime is 54943004147. The next prime is 54943004209. The reversal of 54943004160 is 6140034945.

54943004160 is a `hidden beast` number, since 5 + 494 + 3 + 0 + 0 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×549430041602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96560356 + ... + 96560924.

It is an arithmetic number, because the mean of its divisors is an integer number (335871360).

Almost surely, 254943004160 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 54943004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107478835200).

54943004160 is an abundant number, since it is smaller than the sum of its proper divisors (160014666240).

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

54943004160 is a wasteful number, since it uses less digits than its factorization.

54943004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 54943004160 in words is "fifty-four billion, nine hundred forty-three million, four thousand, one hundred sixty".