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1052060216046 = 237219988120411
BaseRepresentation
bin11110100111100111010…
…11001110101011101110
310201120112212220102012220
433103303223032223232
5114214104403403141
62123150525340210
7136003014200400
oct17236353165356
93646485812186
101052060216046
113761a3623834
1214ba90a07666
1378293b06cc8
1438cc4628b70
151c576e15766
hexf4f3aceaee

1052060216046 has 96 divisors (see below), whose sum is σ = 2462862931200. Its totient is φ = 298724025600.

The previous prime is 1052060216033. The next prime is 1052060216047. The reversal of 1052060216046 is 6406120602501.

It is a super-2 number, since 2×10520602160462 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052060215998 and 1052060216016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052060216047) 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, 51533581 + ... + 51553991.

It is an arithmetic number, because the mean of its divisors is an integer number (25654822200).

Almost surely, 21052060216046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052060216046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231431465600).

1052060216046 is an abundant number, since it is smaller than the sum of its proper divisors (1410802715154).

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

1052060216046 is a wasteful number, since it uses less digits than its factorization.

1052060216046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21510 (or 21503 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 1052060216046 its reverse (6406120602501), we get a palindrome (7458180818547).

The spelling of 1052060216046 in words is "one trillion, fifty-two billion, sixty million, two hundred sixteen thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 398 597 881 1194 1393 1762 2643 2786 4179 5286 6167 8358 9751 12334 18501 19502 20411 29253 37002 40822 43169 58506 61233 86338 122466 129507 142877 175319 259014 285754 350638 428631 525957 857262 1000139 1051914 1227233 2000278 2454466 3000417 3681699 4061789 6000834 7363398 8123578 8590631 12185367 17181262 17982091 24370734 25771893 28432523 35964182 51543786 53946273 56865046 85297569 107892546 125874637 170595138 199027661 251749274 377623911 398055322 597082983 755247822 881122459 1194165966 1762244918 2643367377 3578436109 5286734754 7156872218 10735308327 21470616654 25049052763 50098105526 75147158289 150294316578 175343369341 350686738682 526030108023 1052060216046