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13068812160 = 273759337
BaseRepresentation
bin11000010101111011…
…00011111110000000
31020201210021110000000
430022331203332000
5203231103442120
610000450000000
7641600033115
oct141275437600
936653243000
1013068812160
1155a7005008
122648876000
131303715961
148bd95c90c
155174e5990
hex30af63f80

13068812160 has 256 divisors, whose sum is σ = 46861819200. Its totient is φ = 3484643328.

The previous prime is 13068812153. The next prime is 13068812171. The reversal of 13068812160 is 6121886031.

13068812160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395012 + ... + 1404348.

Almost surely, 213068812160 is an apocalyptic number.

13068812160 is a gapful number since it is divisible by the number (10) 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 13068812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23430909600).

13068812160 is an abundant number, since it is smaller than the sum of its proper divisors (33793007040).

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

13068812160 is an frugal number, since it uses more digits than its factorization.

13068812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9347 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13068812160 in words is "thirteen billion, sixty-eight million, eight hundred twelve thousand, one hundred sixty".