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5110561040 = 245135392717
BaseRepresentation
bin1001100001001110…
…01111100100010000
3111012011102101210112
410300213033210100
540431300423130
62203041020452
7240434023604
oct46047174420
914164371715
105110561040
112192862172
12ba7624728
13635a2c420
14366a41504
151ed9e5495
hex1309cf910

5110561040 has 80 divisors (see below), whose sum is σ = 13037634288. Its totient is φ = 1851353088.

The previous prime is 5110561037. The next prime is 5110561067. The reversal of 5110561040 is 401650115.

It can be written as a sum of positive squares in 8 ways, for example, as 40551424 + 5070009616 = 6368^2 + 71204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51105610402 = 52235668287131763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5110560997 and 5110561015.

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, 8762 + ... + 101478.

Almost surely, 25110561040 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 5110561040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518817144).

5110561040 is an abundant number, since it is smaller than the sum of its proper divisors (7927073248).

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

5110561040 is a wasteful number, since it uses less digits than its factorization.

5110561040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92796 (or 92790 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 5110561040 is about 71488.1881152404. The cubic root of 5110561040 is about 1722.4879534716.

The spelling of 5110561040 in words is "five billion, one hundred ten million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 208 212 260 265 424 520 530 689 848 1040 1060 1378 2120 2756 3445 4240 5512 6890 11024 13780 27560 55120 92717 185434 370868 463585 741736 927170 1205321 1483472 1854340 2410642 3708680 4821284 4914001 6026605 7417360 9642568 9828002 12053210 19285136 19656004 24106420 24570005 39312008 48212840 49140010 63882013 78624016 96425680 98280020 127764026 196560040 255528052 319410065 393120080 511056104 638820130 1022112208 1277640260 2555280520 5110561040