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5838959616 = 210371931461
BaseRepresentation
bin1010111000000011…
…10111010000000000
3120001221000212210120
411130001313100000
543424233201431
62403221100240
7264460223610
oct53401672000
916057025716
105838959616
112526a38866
12116b557680
137209028b9
143d568ca40
15242927196
hex15c077400

5838959616 has 352 divisors, whose sum is σ = 19368222720. Its totient is φ = 1526169600.

The previous prime is 5838959569. The next prime is 5838959639. The reversal of 5838959616 is 6169598385.

It is a self number, because there is not a number n which added to its sum of digits gives 5838959616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12665626 + ... + 12666086.

It is an arithmetic number, because the mean of its divisors is an integer number (55023360).

Almost surely, 25838959616 is an apocalyptic number.

5838959616 is a gapful number since it is divisible by the number (56) 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 5838959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684111360).

5838959616 is an abundant number, since it is smaller than the sum of its proper divisors (13529263104).

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

5838959616 is a wasteful number, since it uses less digits than its factorization.

5838959616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 60.

The square root of 5838959616 is about 76413.0853715514. The cubic root of 5838959616 is about 1800.7157252485.

The spelling of 5838959616 in words is "five billion, eight hundred thirty-eight million, nine hundred fifty-nine thousand, six hundred sixteen".