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14465674272 = 25371710911617
BaseRepresentation
bin11010111100011100…
…01010110000100000
31101100010201101120210
431132032022300200
5214111203034042
610351225334120
71021321126320
oct153616126040
941303641523
1014465674272
116153550205
122978637340
131496c3609a
149b3295280
15599e6aa9c
hex35e38ac20

14465674272 has 192 divisors, whose sum is σ = 46375338240. Its totient is φ = 3853910016.

The previous prime is 14465674271. The next prime is 14465674273. The reversal of 14465674272 is 27247656441.

It is an interprime number because it is at equal distance from previous prime (14465674271) and next prime (14465674273).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14465674271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239408 + ... + 1251024.

It is an arithmetic number, because the mean of its divisors is an integer number (241538220).

Almost surely, 214465674272 is an apocalyptic number.

14465674272 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 14465674272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187669120).

14465674272 is an abundant number, since it is smaller than the sum of its proper divisors (31909663968).

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

14465674272 is a wasteful number, since it uses less digits than its factorization.

14465674272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763 (or 11755 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 14465674272 in words is "fourteen billion, four hundred sixty-five million, six hundred seventy-four thousand, two hundred seventy-two".