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5838065540 = 22517531272551
BaseRepresentation
bin1010110111111100…
…11100111110000100
3120001212100110100122
411123332130332010
543424021044130
62403150001112
7264446511146
oct53376347604
916055313318
105838065540
11252648805a
12116b1a6198
1372067b968
143d54d8c96
152427ec2e5
hex15bf9cf84

5838065540 has 96 divisors (see below), whose sum is σ = 13335404544. Its totient is φ = 2138572800.

The previous prime is 5838065521. The next prime is 5838065543. The reversal of 5838065540 is 455608385.

It is a junction number, because it is equal to n+sod(n) for n = 5838065491 and 5838065500.

It is not an unprimeable number, because it can be changed into a prime (5838065543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287265 + ... + 2289815.

It is an arithmetic number, because the mean of its divisors is an integer number (138910464).

Almost surely, 25838065540 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 5838065540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667702272).

5838065540 is an abundant number, since it is smaller than the sum of its proper divisors (7497339004).

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

5838065540 is a wasteful number, since it uses less digits than its factorization.

5838065540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The square root of 5838065540 is about 76407.2348668632. The cubic root of 5838065540 is about 1800.6238105353.

The spelling of 5838065540 in words is "five billion, eight hundred thirty-eight million, sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 127 170 212 254 265 340 508 530 635 901 1060 1270 1802 2159 2540 2551 3604 4318 4505 5102 6731 8636 9010 10204 10795 12755 13462 18020 21590 25510 26924 33655 43180 43367 51020 67310 86734 114427 134620 135203 173468 216835 228854 270406 323977 433670 457708 540812 572135 647954 676015 867340 1144270 1295908 1352030 1619885 2288540 2298451 2704060 3239770 4596902 5507609 6479540 9193804 11015218 11492255 17170781 22030436 22984510 27538045 34341562 45969020 55076090 68683124 85853905 110152180 171707810 291903277 343415620 583806554 1167613108 1459516385 2919032770 5838065540