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16422461440 = 213571141127
BaseRepresentation
bin11110100101101101…
…01110000000000000
31120101111202110221121
433102312232000000
5232113122231230
611313330202024
71120651422220
oct172266560000
946344673847
1016422461440
116a68062390
123223a23314
131719460408
14b1b102080
15661b4477a
hex3d2dae000

16422461440 has 448 divisors, whose sum is σ = 50731204608. Its totient is φ = 4954521600.

The previous prime is 16422461437. The next prime is 16422461467. The reversal of 16422461440 is 4416422461.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 16422461396 and 16422461405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129310657 + ... + 129310783.

It is an arithmetic number, because the mean of its divisors is an integer number (113239296).

Almost surely, 216422461440 is an apocalyptic number.

16422461440 is a gapful number since it is divisible by the number (10) 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 16422461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25365602304).

16422461440 is an abundant number, since it is smaller than the sum of its proper divisors (34308743168).

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

16422461440 is a wasteful number, since it uses less digits than its factorization.

16422461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 16422461440 in words is "sixteen billion, four hundred twenty-two million, four hundred sixty-one thousand, four hundred forty".