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2050306016 = 251149111863
BaseRepresentation
bin111101000110101…
…0010111111100000
312021220000100002212
41322031102333200
513144334243031
6535241101252
7101544212363
oct17215227740
95256010085
102050306016
11962387290
12492787828
13268a0bb35
141564320da
15beeed12b
hex7a352fe0

2050306016 has 48 divisors (see below), whose sum is σ = 4412838528. Its totient is φ = 929980800.

The previous prime is 2050305989. The next prime is 2050306019. The reversal of 2050306016 is 6106030502.

It is a junction number, because it is equal to n+sod(n) for n = 2050305982 and 2050306000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050306019) 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 7 ways as a sum of consecutive naturals, for example, 166901 + ... + 178763.

It is an arithmetic number, because the mean of its divisors is an integer number (91934136).

Almost surely, 22050306016 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 2050306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206419264).

2050306016 is an abundant number, since it is smaller than the sum of its proper divisors (2362532512).

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

2050306016 is a wasteful number, since it uses less digits than its factorization.

2050306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12375 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2050306016 is about 45280.3049459696. The cubic root of 2050306016 is about 1270.3972997995.

Adding to 2050306016 its reverse (6106030502), we get a palindrome (8156336518).

The spelling of 2050306016 in words is "two billion, fifty million, three hundred six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 491 982 1964 3928 5401 7856 10802 11863 15712 21604 23726 43208 47452 86416 94904 130493 172832 189808 260986 379616 521972 1043944 2087888 4175776 5824733 11649466 23298932 46597864 64072063 93195728 128144126 186391456 256288252 512576504 1025153008 2050306016