Search a number
-
+
5005065150 = 2325216766601
BaseRepresentation
bin1001010100101001…
…10011101110111110
3110220210220122122100
410222110303232332
540222244041100
62144351525530
7235013231451
oct45224635676
913823818570
105005065150
112139257588
12b782298a6
13619c13217
14356a1d498
151e4607400
hex12a533bbe

5005065150 has 72 divisors (see below), whose sum is σ = 13527665424. Its totient is φ = 1326672000.

The previous prime is 5005065097. The next prime is 5005065179. The reversal of 5005065150 is 515605005.

5005065150 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 0 + 651 + 5 + 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 35 ways as a sum of consecutive naturals, for example, 41850 + ... + 108450.

It is an arithmetic number, because the mean of its divisors is an integer number (187884242).

Almost surely, 25005065150 is an apocalyptic number.

5005065150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005065150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763832712).

5005065150 is an abundant number, since it is smaller than the sum of its proper divisors (8522600274).

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

5005065150 is a wasteful number, since it uses less digits than its factorization.

5005065150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66786 (or 66778 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 5005065150 is about 70746.4850716981. The cubic root of 5005065150 is about 1710.5531707832.

The spelling of 5005065150 in words is "five billion, five million, sixty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 167 225 334 450 501 835 1002 1503 1670 2505 3006 4175 5010 7515 8350 12525 15030 25050 37575 66601 75150 133202 199803 333005 399606 599409 666010 999015 1198818 1665025 1998030 2997045 3330050 4995075 5994090 9990150 11122367 14985225 22244734 29970450 33367101 55611835 66734202 100101303 111223670 166835505 200202606 278059175 333671010 500506515 556118350 834177525 1001013030 1668355050 2502532575 5005065150