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5115341344 = 2517101157593
BaseRepresentation
bin1001100001110010…
…11110101000100000
3111012111102021010211
410300321132220200
540434011410334
62203331303504
7240522453421
oct46071365040
914174367124
105115341344
112195527733
12ba914ab94
13636a141c9
14367527648
151ee13ba64
hex130e5ea20

5115341344 has 96 divisors (see below), whose sum is σ = 10855673136. Its totient is φ = 2364211200.

The previous prime is 5115341281. The next prime is 5115341369. The reversal of 5115341344 is 4431435115.

It can be written as a sum of positive squares in 8 ways, for example, as 4363923600 + 751417744 = 66060^2 + 27412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8625912 + ... + 8626504.

Almost surely, 25115341344 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 5115341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427836568).

5115341344 is an abundant number, since it is smaller than the sum of its proper divisors (5740331792).

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

5115341344 is a wasteful number, since it uses less digits than its factorization.

5115341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 5115341344 is about 71521.6145231636. The cubic root of 5115341344 is about 1723.0248449543.

Adding to 5115341344 its reverse (4431435115), we get a palindrome (9546776459).

The spelling of 5115341344 in words is "five billion, one hundred fifteen million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 157 202 272 314 404 544 593 628 808 1186 1256 1616 1717 2372 2512 2669 3232 3434 4744 5024 5338 6868 9488 10081 10676 13736 15857 18976 20162 21352 27472 31714 40324 42704 54944 59893 63428 80648 85408 93101 119786 126856 161296 186202 239572 253712 269569 322592 372404 479144 507424 539138 744808 958288 1018181 1078276 1489616 1582717 1916576 2036362 2156552 2979232 3165434 4072724 4313104 6330868 8145448 8626208 9403201 12661736 16290896 18806402 25323472 32581792 37612804 50646944 75225608 150451216 159854417 300902432 319708834 639417668 1278835336 2557670672 5115341344