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2807481006 = 233117166569
BaseRepresentation
bin1010011101010110…
…1100001010101110
321020122202210221000
42213111230022232
521222203343011
61142330021130
7126400123551
oct24725541256
97218683830
102807481006
111210828040
126642777a6
13359849385
141c8c10698
15116716356
hexa756c2ae

2807481006 has 64 divisors (see below), whose sum is σ = 6901977600. Its totient is φ = 838756800.

The previous prime is 2807480989. The next prime is 2807481007. The reversal of 2807481006 is 6001847082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2807481007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8890 + ... + 75458.

It is an arithmetic number, because the mean of its divisors is an integer number (107843400).

Almost surely, 22807481006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2807481006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450988800).

2807481006 is an abundant number, since it is smaller than the sum of its proper divisors (4094496594).

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

2807481006 is a wasteful number, since it uses less digits than its factorization.

2807481006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66662 (or 66656 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2807481006 is about 52985.6679301111. The cubic root of 2807481006 is about 1410.7138892859.

The spelling of 2807481006 in words is "two billion, eight hundred seven million, four hundred eighty-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 297 426 594 639 781 1278 1562 1917 2343 3834 4686 7029 14058 21087 42174 66569 133138 199707 399414 599121 732259 1198242 1464518 1797363 2196777 3594726 4393554 4726399 6590331 9452798 13180662 14179197 19770993 28358394 39541986 42537591 51990389 85075182 103980778 127612773 155971167 255225546 311942334 467913501 935827002 1403740503 2807481006