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2016806832 = 24321719131331
BaseRepresentation
bin111100000110110…
…0000011110110000
312012112222101212100
41320031200132300
513112300304312
6532043100400
7100656401205
oct17015403660
95175871770
102016806832
11945486907
12483511700
13261ab0231
14151bd1cac
15bc0d25dc
hex783607b0

2016806832 has 240 divisors, whose sum is σ = 6357985920. Its totient is φ = 593049600.

The previous prime is 2016806809. The next prime is 2016806833. The reversal of 2016806832 is 2386086102.

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

It is not an unprimeable number, because it can be changed into a prime (2016806833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6092907 + ... + 6093237.

It is an arithmetic number, because the mean of its divisors is an integer number (26491608).

Almost surely, 22016806832 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 2016806832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178992960).

2016806832 is an abundant number, since it is smaller than the sum of its proper divisors (4341179088).

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

2016806832 is a wasteful number, since it uses less digits than its factorization.

2016806832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2016806832 is about 44908.8725309376. The cubic root of 2016806832 is about 1263.4404235437.

The spelling of 2016806832 in words is "two billion, sixteen million, eight hundred six thousand, eight hundred thirty-two".