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16984453248 = 2734719109113
BaseRepresentation
bin11111101000101101…
…00011000010000000
31121211200020121210000
433310112203002000
5234241010000443
611445203440000
71140614320260
oct176426430200
947750217700
1016984453248
117226310124
123360086000
1317a8a0bc49
14b719d37a0
156961558d3
hex3f45a3080

16984453248 has 640 divisors, whose sum is σ = 61907472000. Its totient is φ = 4514807808.

The previous prime is 16984453223. The next prime is 16984453253. The reversal of 16984453248 is 84235448961.

16984453248 is a `hidden beast` number, since 1 + 69 + 8 + 4 + 4 + 532 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16984453194 and 16984453203.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150304840 + ... + 150304952.

It is an arithmetic number, because the mean of its divisors is an integer number (96730425).

Almost surely, 216984453248 is an apocalyptic number.

16984453248 is a gapful number since it is divisible by the number (18) 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 16984453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30953736000).

16984453248 is an abundant number, since it is smaller than the sum of its proper divisors (44923018752).

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

16984453248 is a wasteful number, since it uses less digits than its factorization.

16984453248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 16984453248 in words is "sixteen billion, nine hundred eighty-four million, four hundred fifty-three thousand, two hundred forty-eight".