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16431107472 = 2433132733083
BaseRepresentation
bin11110100110101111…
…01100110110010000
31120102010000202002000
433103113230312100
5232122330414342
611314235354000
71121115052263
oct172327546620
946363022060
1016431107472
116a71a2826a
1232268b2900
13171b199900
14b1c312cda
156627a144c
hex3d35ecd90

16431107472 has 240 divisors, whose sum is σ = 51786774720. Its totient is φ = 4984851456.

The previous prime is 16431107449. The next prime is 16431107501. The reversal of 16431107472 is 27470113461.

16431107472 is a `hidden beast` number, since 1 + 643 + 1 + 1 + 0 + 7 + 4 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5328043 + ... + 5331125.

It is an arithmetic number, because the mean of its divisors is an integer number (215778228).

Almost surely, 216431107472 is an apocalyptic number.

16431107472 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 16431107472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25893387360).

16431107472 is an abundant number, since it is smaller than the sum of its proper divisors (35355667248).

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

16431107472 is a wasteful number, since it uses less digits than its factorization.

16431107472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 16431107472 in words is "sixteen billion, four hundred thirty-one million, one hundred seven thousand, four hundred seventy-two".