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21483442077384 = 233722914918312309
BaseRepresentation
bin1001110001010000000001…
…11011101111111011001000
32211001210112000110000122010
410320220000323233323020
510303441042132434014
6113405205042055520
74345061502440400
oct470500073577310
984053460400563
1021483442077384
116933092a87061
1224ab77534a5a0
13bcab5918b7a1
14543b38803800
15273c7877e359
hex138a00eefec8

21483442077384 has 384 divisors, whose sum is σ = 65129248800000. Its totient is φ = 5880928757760.

The previous prime is 21483442077343. The next prime is 21483442077389. The reversal of 21483442077384 is 48377024438412.

It is not an unprimeable number, because it can be changed into a prime (21483442077389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9304218022 + ... + 9304220330.

It is an arithmetic number, because the mean of its divisors is an integer number (169607418750).

Almost surely, 221483442077384 is an apocalyptic number.

21483442077384 is a gapful number since it is divisible by the number (24) 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 21483442077384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32564624400000).

21483442077384 is an abundant number, since it is smaller than the sum of its proper divisors (43645806722616).

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

21483442077384 is a wasteful number, since it uses less digits than its factorization.

21483442077384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 57.

The spelling of 21483442077384 in words is "twenty-one trillion, four hundred eighty-three billion, four hundred forty-two million, seventy-seven thousand, three hundred eighty-four".