Search a number
-
+
13018350852 = 22321360745827
BaseRepresentation
bin11000001111111010…
…00100010100000100
31020121021022202002200
430013331010110010
5203130144211402
65551444234500
7640415104443
oct140775042404
936537282080
1013018350852
115580579751
12263399ba30
1312c61285b0
148b6d84d5a
15512d7921c
hex307f44504

13018350852 has 72 divisors (see below), whose sum is σ = 35498002176. Its totient is φ = 3998960064.

The previous prime is 13018350847. The next prime is 13018350853. The reversal of 13018350852 is 25805381031.

13018350852 is a `hidden beast` number, since 130 + 18 + 3 + 508 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13018350853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261163 + ... + 306989.

It is an arithmetic number, because the mean of its divisors is an integer number (493027808).

Almost surely, 213018350852 is an apocalyptic number.

13018350852 is a gapful number since it is divisible by the number (12) 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 13018350852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749001088).

13018350852 is an abundant number, since it is smaller than the sum of its proper divisors (22479651324).

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

13018350852 is a wasteful number, since it uses less digits than its factorization.

13018350852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46457 (or 46452 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13018350852 in words is "thirteen billion, eighteen million, three hundred fifty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 607 1214 1821 2428 3642 5463 7284 7891 10926 15782 21852 23673 31564 45827 47346 71019 91654 94692 137481 142038 183308 274962 284076 412443 549924 595751 824886 1191502 1649772 1787253 2383004 3574506 5361759 7149012 10723518 21447036 27816989 55633978 83450967 111267956 166901934 250352901 333803868 361620857 500705802 723241714 1001411604 1084862571 1446483428 2169725142 3254587713 4339450284 6509175426 13018350852