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2065417112 = 2311237691327
BaseRepresentation
bin111101100011011…
…1100001110011000
312022221110001122002
41323012330032120
513212221321422
6540541020132
7102116520143
oct17306741630
95287401562
102065417112
1196a9684a0
12497854648
1326bb9cc05
1415844705a
15c14d5692
hex7b1bc398

2065417112 has 64 divisors (see below), whose sum is σ = 4417459200. Its totient is φ = 896163840.

The previous prime is 2065417093. The next prime is 2065417121. The reversal of 2065417112 is 2117145602.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1555793 + ... + 1557119.

It is an arithmetic number, because the mean of its divisors is an integer number (69022800).

Almost surely, 22065417112 is an apocalyptic number.

2065417112 is a gapful number since it is divisible by the number (22) 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 2065417112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208729600).

2065417112 is an abundant number, since it is smaller than the sum of its proper divisors (2352042088).

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

2065417112 is a wasteful number, since it uses less digits than its factorization.

2065417112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 2065417112 is about 45446.8603095967. The cubic root of 2065417112 is about 1273.5106766386.

The spelling of 2065417112 in words is "two billion, sixty-five million, four hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 769 1012 1327 1538 2024 2654 3076 5308 6152 8459 10616 14597 16918 17687 29194 30521 33836 35374 58388 61042 67672 70748 116776 122084 141496 194557 244168 335731 389114 671462 778228 1020463 1342924 1556456 2040926 2685848 4081852 8163704 11225093 22450186 23470649 44900372 46941298 89800744 93882596 187765192 258177139 516354278 1032708556 2065417112