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5042000000 = 27562521
BaseRepresentation
bin1001011001000011…
…01101000010000000
3111000101102010201202
410230201231002000
540311223000000
62152151320332
7235642202312
oct45441550200
914011363652
105042000000
112158094254
12b886800a8
1362477586b
1435b8b57b2
151e79a0dd5
hex12c86d080

5042000000 has 112 divisors (see below), whose sum is σ = 12560581410. Its totient is φ = 2016000000.

The previous prime is 5041999981. The next prime is 5042000003. The reversal of 5042000000 is 2405.

It can be written as a sum of positive squares in 7 ways, for example, as 4369738816 + 672261184 = 66104^2 + 25928^2 .

It is not an unprimeable number, because it can be changed into a prime (5042000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1998740 + ... + 2001260.

Almost surely, 25042000000 is an apocalyptic number.

5042000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280290705).

5042000000 is an abundant number, since it is smaller than the sum of its proper divisors (7518581410).

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

5042000000 is an frugal number, since it uses more digits than its factorization.

5042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 5042000000 is about 71007.0419043069. The cubic root of 5042000000 is about 1714.7505353301.

Adding to 5042000000 its reverse (2405), we get a palindrome (5042002405).

The spelling of 5042000000 in words is "five billion, forty-two million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 2521 3125 3200 4000 5000 5042 6250 8000 10000 10084 12500 12605 15625 16000 20000 20168 25000 25210 31250 40000 40336 50000 50420 62500 63025 80000 80672 100000 100840 125000 126050 161344 200000 201680 250000 252100 315125 322688 400000 403360 500000 504200 630250 806720 1000000 1008400 1260500 1575625 1613440 2000000 2016800 2521000 3151250 4033600 5042000 6302500 7878125 8067200 10084000 12605000 15756250 20168000 25210000 31512500 39390625 40336000 50420000 63025000 78781250 100840000 126050000 157562500 201680000 252100000 315125000 504200000 630250000 1008400000 1260500000 2521000000 5042000000