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18828281472 = 2737112136173
BaseRepresentation
bin10001100010010000…
…001100011010000000
31210121011201210121020
4101202100030122000
5302030020001342
612352151225440
71234403515620
oct214220143200
953534653536
1018828281472
117a9208a600
123795678280
131a10a06170
14ca8838880
15752e6a0ec
hex46240c680

18828281472 has 768 divisors, whose sum is σ = 69709704960. Its totient is φ = 4379443200.

The previous prime is 18828281431. The next prime is 18828281513. The reversal of 18828281472 is 27418282881.

It is an interprime number because it is at equal distance from previous prime (18828281431) and next prime (18828281513).

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 95 ways as a sum of consecutive naturals, for example, 257921628 + ... + 257921700.

It is an arithmetic number, because the mean of its divisors is an integer number (90767845).

Almost surely, 218828281472 is an apocalyptic number.

18828281472 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 18828281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854852480).

18828281472 is an abundant number, since it is smaller than the sum of its proper divisors (50881423488).

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

18828281472 is a wasteful number, since it uses less digits than its factorization.

18828281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its digits is 917504, while the sum is 51.

The spelling of 18828281472 in words is "eighteen billion, eight hundred twenty-eight million, two hundred eighty-one thousand, four hundred seventy-two".