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13860298368 = 27337281847
BaseRepresentation
bin11001110100010001…
…10101111010000000
31022202221121002222000
430322020311322000
5211341214021433
610211202144000
71000320410100
oct147210657200
938687532860
1013860298368
115972860344
122829952000
1313cb6a75a7
14956b0d200
15561c3a113
hex33a235e80

13860298368 has 192 divisors, whose sum is σ = 47586427200. Its totient is φ = 3960036864.

The previous prime is 13860298363. The next prime is 13860298411. The reversal of 13860298368 is 86389206831.

It is a happy number.

13860298368 is a `hidden beast` number, since 138 + 60 + 2 + 98 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13860298363) 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, 128421 + ... + 210267.

It is an arithmetic number, because the mean of its divisors is an integer number (247845975).

Almost surely, 213860298368 is an apocalyptic number.

13860298368 is a gapful number since it is divisible by the number (18) 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 13860298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793213600).

13860298368 is an abundant number, since it is smaller than the sum of its proper divisors (33726128832).

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

13860298368 is an equidigital number, since it uses as much as digits as its factorization.

13860298368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81884 (or 81859 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13860298368 in words is "thirteen billion, eight hundred sixty million, two hundred ninety-eight thousand, three hundred sixty-eight".