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54166478940 = 223257831573299
BaseRepresentation
bin110010011100100100…
…101110000001011100
312011210221210020020200
4302130210232001130
51341413104311230
640514515343500
73625203321450
oct623444560134
9164727706220
1054166478940
1120a76624382
12a5b82b1b90
13515300cb92
14289bc1c660
151620552160
hexc9c92e05c

54166478940 has 288 divisors, whose sum is σ = 191307916800. Its totient is φ = 12150148608.

The previous prime is 54166478921. The next prime is 54166478999. The reversal of 54166478940 is 4987466145.

54166478940 is a `hidden beast` number, since 5 + 4 + 166 + 478 + 9 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16417411 + ... + 16420709.

It is an arithmetic number, because the mean of its divisors is an integer number (664263600).

Almost surely, 254166478940 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 54166478940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95653958400).

54166478940 is an abundant number, since it is smaller than the sum of its proper divisors (137141437860).

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

54166478940 is a wasteful number, since it uses less digits than its factorization.

54166478940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 54166478940 in words is "fifty-four billion, one hundred sixty-six million, four hundred seventy-eight thousand, nine hundred forty".