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5205055000 = 23543133581
BaseRepresentation
bin1001101100011111…
…01101011000011000
3111102202020012010211
410312033231120120
541124443230000
62220254220504
7242662144315
oct46617553030
914382205124
105205055000
112231132952
1210131b4734
1364c495a02
143753dbd0c
15206e5d7ba
hex1363ed618

5205055000 has 80 divisors (see below), whose sum is σ = 12589220160. Its totient is φ = 2014800000.

The previous prime is 5205054991. The next prime is 5205055061. The reversal of 5205055000 is 5505025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138210 + ... + 171790.

It is an arithmetic number, because the mean of its divisors is an integer number (157365252).

Almost surely, 25205055000 is an apocalyptic number.

5205055000 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 5205055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294610080).

5205055000 is an abundant number, since it is smaller than the sum of its proper divisors (7384165160).

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

5205055000 is a wasteful number, since it uses less digits than its factorization.

5205055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33638 (or 33619 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 22.

The square root of 5205055000 is about 72146.0671138767. The cubic root of 5205055000 is about 1733.0394184422.

The spelling of 5205055000 in words is "five billion, two hundred five million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 625 775 1000 1240 1250 1550 2500 3100 3875 5000 6200 7750 15500 19375 31000 33581 38750 67162 77500 134324 155000 167905 268648 335810 671620 839525 1041011 1343240 1679050 2082022 3358100 4164044 4197625 5205055 6716200 8328088 8395250 10410110 16790500 20820220 20988125 26025275 33581000 41640440 41976250 52050550 83952500 104101100 130126375 167905000 208202200 260252750 520505500 650631875 1041011000 1301263750 2602527500 5205055000