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5450030127360 = 28365721353173
BaseRepresentation
bin100111101001110111100…
…0111000001100100000000
3201022000110222012022000000
41033103233013001210000
51203243130203033420
615331413112000000
71101515553504600
oct117235707014400
921260428168000
105450030127360
111811387a1a055
12740304090000
13306c21790260
1414bad627cc00
1596b7b461690
hex4f4ef1c1900

5450030127360 has 3024 divisors, whose sum is σ = 25126859533104. Its totient is φ = 1121678917632.

The previous prime is 5450030127341. The next prime is 5450030127379. The reversal of 5450030127360 is 637210300545.

5450030127360 is a `hidden beast` number, since 54 + 500 + 30 + 1 + 2 + 73 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5450030127341) and next prime (5450030127379).

It can be written as a sum of positive squares in 8 ways, for example, as 42284519424 + 5407745607936 = 205632^2 + 2325456^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 31503064234 + ... + 31503064406.

It is an arithmetic number, because the mean of its divisors is an integer number (8309146671).

Almost surely, 25450030127360 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 5450030127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563429766552).

5450030127360 is an abundant number, since it is smaller than the sum of its proper divisors (19676829405744).

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

5450030127360 is a wasteful number, since it uses less digits than its factorization.

5450030127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 5450030127360 in words is "five trillion, four hundred fifty billion, thirty million, one hundred twenty-seven thousand, three hundred sixty".