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5740827312 = 2431112798501
BaseRepresentation
bin1010101100010111…
…00001001010110000
3112211002101020120210
411112023201022300
543224122433222
62345353504120
7262156140603
oct52613411260
915732336523
105740827312
112486602590
121142712040
1370649424c
143c662633a
15238ee0d0c
hex1562e12b0

5740827312 has 80 divisors (see below), whose sum is σ = 16193249280. Its totient is φ = 1738080000.

The previous prime is 5740827311. The next prime is 5740827317. The reversal of 5740827312 is 2137280475.

It is not an unprimeable number, because it can be changed into a prime (5740827311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671062 + ... + 679562.

It is an arithmetic number, because the mean of its divisors is an integer number (202415616).

Almost surely, 25740827312 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 5740827312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096624640).

5740827312 is an abundant number, since it is smaller than the sum of its proper divisors (10452421968).

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

5740827312 is a wasteful number, since it uses less digits than its factorization.

5740827312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9802 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 5740827312 is about 75768.2473863557. The cubic root of 5740827312 is about 1790.5707855860.

The spelling of 5740827312 in words is "five billion, seven hundred forty million, eight hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1279 2558 3837 5116 7674 8501 10232 14069 15348 17002 20464 25503 28138 30696 34004 42207 51006 56276 61392 68008 84414 93511 102012 112552 136016 168828 187022 204024 225104 280533 337656 374044 408048 561066 675312 748088 1122132 1496176 2244264 4488528 10872779 21745558 32618337 43491116 65236674 86982232 119600569 130473348 173964464 239201138 260946696 358801707 478402276 521893392 717603414 956804552 1435206828 1913609104 2870413656 5740827312