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14782672896 = 212331151257
BaseRepresentation
bin11011100010001110…
…11011000000000000
31102011020012120221120
431301013123000000
5220233331013041
610442511552240
71032220434465
oct156107330000
942136176846
1014782672896
1162a6484a42
122a4682b680
131517806134
14a0341166c
155b7bd6366
hex3711db000

14782672896 has 208 divisors, whose sum is σ = 41115936768. Its totient is φ = 4718592000.

The previous prime is 14782672867. The next prime is 14782672901. The reversal of 14782672896 is 69827628741.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57520000 + ... + 57520256.

Almost surely, 214782672896 is an apocalyptic number.

14782672896 is a gapful number since it is divisible by the number (16) 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 14782672896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557968384).

14782672896 is an abundant number, since it is smaller than the sum of its proper divisors (26333263872).

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

14782672896 is a wasteful number, since it uses less digits than its factorization.

14782672896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The spelling of 14782672896 in words is "fourteen billion, seven hundred eighty-two million, six hundred seventy-two thousand, eight hundred ninety-six".