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5116604040 = 2332529534813
BaseRepresentation
bin1001100001111100…
…10010111010001000
3111012120210102020100
410300332102322020
540434322312130
62203414325400
7240536262642
oct46076227210
914176712210
105116604040
11219620a389
12ba9659860
13637066b72
14367775892
151ee2dac60
hex130f92e88

5116604040 has 96 divisors (see below), whose sum is σ = 16638050520. Its totient is φ = 1363682304.

The previous prime is 5116604029. The next prime is 5116604093. The reversal of 5116604040 is 404066115.

5116604040 is a `hidden beast` number, since 5 + 1 + 16 + 604 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4981254084 + 135349956 = 70578^2 + 11634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5116603995 and 5116604013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060674 + ... + 1065486.

Almost surely, 25116604040 is an apocalyptic number.

It is an amenable number.

5116604040 is an abundant number, since it is smaller than the sum of its proper divisors (11521446480).

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

5116604040 is a wasteful number, since it uses less digits than its factorization.

5116604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5116604040 is about 71530.4413519167. The cubic root of 5116604040 is about 1723.1666065978.

The spelling of 5116604040 in words is "five billion, one hundred sixteen million, six hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2953 4813 5906 8859 9626 11812 14439 14765 17718 19252 23624 24065 26577 28878 29530 35436 38504 43317 44295 48130 53154 57756 59060 70872 72195 86634 88590 96260 106308 115512 118120 132885 144390 173268 177180 192520 212616 216585 265770 288780 346536 354360 433170 531540 577560 866340 1063080 1732680 14212789 28425578 42638367 56851156 71063945 85276734 113702312 127915101 142127890 170553468 213191835 255830202 284255780 341106936 426383670 511660404 568511560 639575505 852767340 1023320808 1279151010 1705534680 2558302020 5116604040