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2030066336 = 25596117627
BaseRepresentation
bin111100100000000…
…0101101010100000
312020110221001111002
41321000011222200
513124144110321
6533235211132
7101210164514
oct17100055240
95213831432
102030066336
11951a12981
12487a46aa8
132647735ac
14153884144
15bd35120b
hex79005aa0

2030066336 has 48 divisors (see below), whose sum is σ = 4131298080. Its totient is φ = 981415680.

The previous prime is 2030066327. The next prime is 2030066351. The reversal of 2030066336 is 6336600302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2030066299 and 2030066308.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 106355 + ... + 123981.

It is an arithmetic number, because the mean of its divisors is an integer number (86068710).

Almost surely, 22030066336 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 2030066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065649040).

2030066336 is an abundant number, since it is smaller than the sum of its proper divisors (2101231744).

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

2030066336 is a wasteful number, since it uses less digits than its factorization.

2030066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17757 (or 17749 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 2030066336 is about 45056.2574566508. The cubic root of 2030066336 is about 1266.2032089637.

Adding to 2030066336 its reverse (6336600302), we get a palindrome (8366666638).

The spelling of 2030066336 in words is "two billion, thirty million, sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 61 118 122 236 244 472 488 944 976 1888 1952 3599 7198 14396 17627 28792 35254 57584 70508 115168 141016 282032 564064 1039993 1075247 2079986 2150494 4159972 4300988 8319944 8601976 16639888 17203952 33279776 34407904 63439573 126879146 253758292 507516584 1015033168 2030066336