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5486170800 = 2435211795261
BaseRepresentation
bin1010001110000000…
…00101001010110000
3112011100012100112010
411013000011022300
542213424431200
62304215402520
7252644453025
oct50700051260
915140170463
105486170800
112365889360
121091383440
136957b1216
143a089754c
1522198c150
hex1470052b0

5486170800 has 240 divisors, whose sum is σ = 19418042880. Its totient is φ = 1312896000.

The previous prime is 5486170783. The next prime is 5486170801. The reversal of 5486170800 is 80716845.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5486170801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040170 + ... + 1045430.

It is an arithmetic number, because the mean of its divisors is an integer number (80908512).

Almost surely, 25486170800 is an apocalyptic number.

5486170800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5486170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9709021440).

5486170800 is an abundant number, since it is smaller than the sum of its proper divisors (13931872080).

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

5486170800 is a wasteful number, since it uses less digits than its factorization.

5486170800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 5486170800 is about 74068.6897413475. The cubic root of 5486170800 is about 1763.6934746415.

The spelling of 5486170800 in words is "five billion, four hundred eighty-six million, one hundred seventy thousand, eight hundred".