Search a number
-
+
13661053218 = 23630612
BaseRepresentation
bin11001011100100001…
…10010000100100010
31022021001200102000000
430232100302010202
5210434212200333
610135323440430
7662351015331
oct145620620442
938231612000
1013661053218
11588034352a
122793086116
131399325a57
14938485d18
1554e4ce713
hex32e432122

13661053218 has 42 divisors (see below), whose sum is σ = 30733355457. Its totient is φ = 4552196760.

The previous prime is 13661053199. The next prime is 13661053223. The reversal of 13661053218 is 81235016631.

13661053218 is a `hidden beast` number, since 1 + 3 + 6 + 610 + 5 + 32 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9706781529 + 3954271689 = 98523^2 + 62883^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=82647.

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 20 ways as a sum of consecutive naturals, for example, 4461408 + ... + 4464468.

Almost surely, 213661053218 is an apocalyptic number.

13661053218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13661053218

13661053218 is an abundant number, since it is smaller than the sum of its proper divisors (17072302239).

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

13661053218 is an frugal number, since it uses more digits than its factorization.

13661053218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 13661053218 its reverse (81235016631), we get a palindrome (94896069849).

The spelling of 13661053218 in words is "thirteen billion, six hundred sixty-one million, fifty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 3061 6122 9183 18366 27549 55098 82647 165294 247941 495882 743823 1487646 2231469 4462938 9369721 18739442 28109163 56218326 84327489 168654978 252982467 505964934 758947401 1517894802 2276842203 4553684406 6830526609 13661053218