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54238947840 = 293457114379
BaseRepresentation
bin110010100000111001…
…001010101000000000
312012000000011000220000
4302200321022220000
51342040132312330
640530024520000
73630043310160
oct624071125000
9165000130800
1054238947840
1121003521330
12a618620000
13516503439c
1428a76c45a0
151626ab9560
hexca0e4aa00

54238947840 has 1600 divisors, whose sum is σ = 250972508160. Its totient is φ = 10868981760.

The previous prime is 54238947821. The next prime is 54238947913. The reversal of 54238947840 is 4874983245.

54238947840 is a `hidden beast` number, since 54 + 2 + 3 + 89 + 478 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 686568921 + ... + 686568999.

Almost surely, 254238947840 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 54238947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125486254080).

54238947840 is an abundant number, since it is smaller than the sum of its proper divisors (196733560320).

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

54238947840 is a wasteful number, since it uses less digits than its factorization.

54238947840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 54238947840 in words is "fifty-four billion, two hundred thirty-eight million, nine hundred forty-seven thousand, eight hundred forty".