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5056036020 = 22325717892243
BaseRepresentation
bin1001011010101110…
…01111110010110100
3111001100211020112100
410231113033302310
540323321123040
62153412222100
7236202411540
oct45527176264
914040736470
105056036020
112165000772
12b9130a930
1362764b4b9
1435d6caa20
151e8d24b30
hex12d5cfcb4

5056036020 has 144 divisors (see below), whose sum is σ = 17545207680. Its totient is φ = 1154504448.

The previous prime is 5056036003. The next prime is 5056036033. The reversal of 5056036020 is 206306505.

5056036020 is a `hidden beast` number, since 5 + 0 + 56 + 0 + 3 + 602 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2253019 + ... + 2255261.

It is an arithmetic number, because the mean of its divisors is an integer number (121841720).

Almost surely, 25056036020 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 5056036020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772603840).

5056036020 is an abundant number, since it is smaller than the sum of its proper divisors (12489171660).

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

5056036020 is a wasteful number, since it uses less digits than its factorization.

5056036020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5056036020 is about 71105.8086234873. The cubic root of 5056036020 is about 1716.3402466466.

The spelling of 5056036020 in words is "five billion, fifty-six million, thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1789 2243 3578 4486 5367 6729 7156 8945 8972 10734 11215 12523 13458 15701 16101 17890 20187 21468 22430 25046 26835 26916 31402 32202 33645 35780 37569 40374 44860 47103 50092 53670 62615 62804 64404 67290 75138 78505 80505 80748 94206 100935 107340 112707 125230 134580 141309 150276 157010 161010 187845 188412 201870 225414 235515 250460 282618 314020 322020 375690 403740 450828 471030 563535 565236 706545 751380 942060 1127070 1413090 2254140 2826180 4012727 8025454 12038181 16050908 20063635 24076362 28089089 36114543 40127270 48152724 56178178 60190905 72229086 80254540 84267267 112356356 120381810 140445445 144458172 168534534 180572715 240763620 252801801 280890890 337069068 361145430 421336335 505603602 561781780 722290860 842672670 1011207204 1264009005 1685345340 2528018010 5056036020