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14889431232 = 26331317127307
BaseRepresentation
bin11011101110111101…
…01011000011000000
31102102200002110212000
431313132223003000
5220443143244412
610501244104000
71034655035334
oct156736530300
942380073760
1014889431232
116350772075
122a76535000
131533974b50
14a136817c4
155c22734dc
hex3777ab0c0

14889431232 has 448 divisors, whose sum is σ = 50469027840. Its totient is φ = 4263985152.

The previous prime is 14889431213. The next prime is 14889431261. The reversal of 14889431232 is 23213498841.

14889431232 is a `hidden beast` number, since 1 + 488 + 9 + 43 + 123 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48499623 + ... + 48499929.

It is an arithmetic number, because the mean of its divisors is an integer number (112654080).

Almost surely, 214889431232 is an apocalyptic number.

14889431232 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 14889431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234513920).

14889431232 is an abundant number, since it is smaller than the sum of its proper divisors (35579596608).

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

14889431232 is a wasteful number, since it uses less digits than its factorization.

14889431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 14889431232 in words is "fourteen billion, eight hundred eighty-nine million, four hundred thirty-one thousand, two hundred thirty-two".