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5187318336 = 263211379697
BaseRepresentation
bin1001101010011000…
…00011001001000000
3111101111212002000100
410311030003021000
541110423141321
62214422122400
7242355323034
oct46514031100
914344762010
105187318336
112222119052
121009280400
136488c5845
14372d021c4
15205608326
hex135303240

5187318336 has 84 divisors (see below), whose sum is σ = 15000279372. Its totient is φ = 1713782784.

The previous prime is 5187318299. The next prime is 5187318347. The reversal of 5187318336 is 6338137815.

It can be written as a sum of positive squares in 2 ways, for example, as 850305600 + 4337012736 = 29160^2 + 65856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5187318291 and 5187318300.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25240 + ... + 104936.

Almost surely, 25187318336 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 5187318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500139686).

5187318336 is an abundant number, since it is smaller than the sum of its proper divisors (9812961036).

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

5187318336 is a wasteful number, since it uses less digits than its factorization.

5187318336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79828 (or 79815 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5187318336 is about 72023.0403134997. The cubic root of 5187318336 is about 1731.0686855935.

The spelling of 5187318336 in words is "five billion, one hundred eighty-seven million, three hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 16272 21696 32544 65088 79697 159394 239091 318788 478182 637576 717273 956364 1275152 1434546 1912728 2550304 2869092 3825456 5100608 5738184 7650912 9005761 11476368 15301824 18011522 22952736 27017283 36023044 45905472 54034566 72046088 81051849 108069132 144092176 162103698 216138264 288184352 324207396 432276528 576368704 648414792 864553056 1296829584 1729106112 2593659168 5187318336