Search a number
-
+
5899124005344 = 253417320941719
BaseRepresentation
bin101010111010111111100…
…1100001101100111100000
3202212221200002120001220000
41111311333030031213200
51233122401221132334
620314004204220000
71146124535464323
oct125657714154740
922787602501800
105899124005344
111974893790629
127b335883a600
1333a39221022b
1416573a6a07ba
15a36b2db4299
hex55d7f30d9e0

5899124005344 has 240 divisors, whose sum is σ = 18375863536800. Its totient is φ = 1850084499456.

The previous prime is 5899124005339. The next prime is 5899124005393. The reversal of 5899124005344 is 4435004219985.

It is a happy number.

5899124005344 is a `hidden beast` number, since 5 + 8 + 99 + 12 + 4 + 0 + 0 + 534 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 141380517 + ... + 141422235.

It is an arithmetic number, because the mean of its divisors is an integer number (76566098070).

Almost surely, 25899124005344 is an apocalyptic number.

5899124005344 is a gapful number since it is divisible by the number (54) 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 5899124005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187931768400).

5899124005344 is an abundant number, since it is smaller than the sum of its proper divisors (12476739531456).

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

5899124005344 is a wasteful number, since it uses less digits than its factorization.

5899124005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44967 (or 44950 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5899124005344 in words is "five trillion, eight hundred ninety-nine billion, one hundred twenty-four million, five thousand, three hundred forty-four".