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5828299107840 = 2933511311072311
BaseRepresentation
bin101010011010000000110…
…1100101010111000000000
3202122011212012000111101000
41110310001230222320000
51230442324032422330
620221252245012000
71141036454003556
oct124640154527000
922564765014330
105828299107840
1119478499a2890
127a16916b4000
133337b5c06361
1416213c2bbbd6
15a191a15e560
hex54d01b2ae00

5828299107840 has 1280 divisors, whose sum is σ = 23541258977280. Its totient is φ = 1353977856000.

The previous prime is 5828299107811. The next prime is 5828299107863. The reversal of 5828299107840 is 487019928285.

5828299107840 is a `hidden beast` number, since 582 + 8 + 2 + 9 + 9 + 1 + 0 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2521980285 + ... + 2521982595.

It is an arithmetic number, because the mean of its divisors is an integer number (18391608576).

Almost surely, 25828299107840 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 5828299107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11770629488640).

5828299107840 is an abundant number, since it is smaller than the sum of its proper divisors (17712959869440).

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

5828299107840 is a wasteful number, since it uses less digits than its factorization.

5828299107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 5828299107840 in words is "five trillion, eight hundred twenty-eight billion, two hundred ninety-nine million, one hundred seven thousand, eight hundred forty".