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816143616 = 28321767311
BaseRepresentation
bin110000101001010…
…101110100000000
32002212201101120100
4300221111310000
53132413043431
6212552442400
726140051311
oct6051256400
92085641510
10816143616
11389767862
121a93a9400
13100115c22
147a56c608
154b9b54e6
hex30a55d00

816143616 has 216 divisors, whose sum is σ = 2536881984. Its totient is φ = 251412480.

The previous prime is 816143611. The next prime is 816143621. The reversal of 816143616 is 616341618.

816143616 is a `hidden beast` number, since 8 + 1 + 614 + 36 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (816143611) and next prime (816143621).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816143611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2624101 + ... + 2624411.

It is an arithmetic number, because the mean of its divisors is an integer number (11744824).

Almost surely, 2816143616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816143616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268440992).

816143616 is an abundant number, since it is smaller than the sum of its proper divisors (1720738368).

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

816143616 is a wasteful number, since it uses less digits than its factorization.

816143616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 816143616 is about 28568.2273863815. The cubic root of 816143616 is about 934.5205644456.

The spelling of 816143616 in words is "eight hundred sixteen million, one hundred forty-three thousand, six hundred sixteen".