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239468008416 = 2537133612659
BaseRepresentation
bin1101111100000101100…
…1111101001111100000
3211220002221022020201220
43133001121331033200
512410412302232131
6302002102255040
723205145325640
oct3370131751740
9756087266656
10239468008416
11926154a207a
123a4b1427480
13197740c8000
14b839b6a520
1563683c3e96
hex37c167d3e0

239468008416 has 384 divisors, whose sum is σ = 791299353600. Its totient is φ = 62097684480.

The previous prime is 239468008387. The next prime is 239468008471. The reversal of 239468008416 is 614800864932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90058095 + ... + 90060753.

It is an arithmetic number, because the mean of its divisors is an integer number (2060675400).

Almost surely, 2239468008416 is an apocalyptic number.

239468008416 is a gapful number since it is divisible by the number (26) 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 239468008416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395649676800).

239468008416 is an abundant number, since it is smaller than the sum of its proper divisors (551831345184).

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

239468008416 is a wasteful number, since it uses less digits than its factorization.

239468008416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 239468008416 in words is "two hundred thirty-nine billion, four hundred sixty-eight million, eight thousand, four hundred sixteen".