Search a number
-
+
5057366101000 = 23536182907641
BaseRepresentation
bin100100110011000001010…
…0000101000110000001000
3122220110221112112222222121
41021212002200220300020
51130324441210213000
614431153311101024
71031245150401043
oct111460240506010
918813845488877
105057366101000
11167a8a9356294
12698199811774
132a8ba4c3c925
14136ac64d1c5a
158b848ae9b1a
hex49982828c08

5057366101000 has 64 divisors (see below), whose sum is σ = 12028240701360. Its totient is φ = 1989783360000.

The previous prime is 5057366100991. The next prime is 5057366101049. The reversal of 5057366101000 is 1016637505.

It can be written as a sum of positive squares in 8 ways, for example, as 47835813796 + 5009530287204 = 218714^2 + 2238198^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41392821 + ... + 41514820.

Almost surely, 25057366101000 is an apocalyptic number.

5057366101000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5057366101000 is an abundant number, since it is smaller than the sum of its proper divisors (6970874600360).

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

5057366101000 is a wasteful number, since it uses less digits than its factorization.

5057366101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82907723 (or 82907709 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 5057366101000 in words is "five trillion, fifty-seven billion, three hundred sixty-six million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 82907641 165815282 331630564 414538205 663261128 829076410 1658152820 2072691025 3316305640 4145382050 5057366101 8290764100 10114732202 10363455125 16581528200 20229464404 20726910250 25286830505 40458928808 41453820500 50573661010 82907641000 101147322020 126434152525 202294644040 252868305050 505736610100 632170762625 1011473220200 1264341525250 2528683050500 5057366101000