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54973703040 = 273553210193
BaseRepresentation
bin110011001100101100…
…000010001110000000
312020220012201110112120
4303030230002032000
51400041231444130
641130553124240
73654204523464
oct631454021600
9166805643476
1054973703040
1121350249833
12a7a26b9680
135251321c89
1429371084a4
15166b354910
hexcccb02380

54973703040 has 192 divisors, whose sum is σ = 178614782640. Its totient is φ = 14381645824.

The previous prime is 54973703033. The next prime is 54973703053. The reversal of 54973703040 is 4030737945.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 54973702983 and 54973703001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5388184 + ... + 5398376.

Almost surely, 254973703040 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 54973703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89307391320).

54973703040 is an abundant number, since it is smaller than the sum of its proper divisors (123641079600).

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

54973703040 is a wasteful number, since it uses less digits than its factorization.

54973703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10321 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 54973703040 in words is "fifty-four billion, nine hundred seventy-three million, seven hundred three thousand, forty".