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1306066366206 = 23471787644507
BaseRepresentation
bin10011000000010111100…
…111110010111011111110
311121212012000021210020000
4103000113213302323332
5132344310442204311
62435555410535130
7163234353640260
oct23002747627376
94555160253200
101306066366206
11463999461988
1219115ab974a6
1396213b5ba44
14472dd111b30
1523e917bc056
hex130179f2efe

1306066366206 has 80 divisors (see below), whose sum is σ = 3346512402816. Its totient is φ = 372952419984.

The previous prime is 1306066366201. The next prime is 1306066366259. The reversal of 1306066366206 is 6026636606031.

It is a happy number.

1306066366206 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 6 + 636 + 6 + 2 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306066366201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1704205 + ... + 2348711.

Almost surely, 21306066366206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306066366206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673256201408).

1306066366206 is an abundant number, since it is smaller than the sum of its proper divisors (2040446036610).

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

1306066366206 is a wasteful number, since it uses less digits than its factorization.

1306066366206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646315 (or 646306 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 1306066366206 in words is "one trillion, three hundred six billion, sixty-six million, three hundred sixty-six thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1787 3574 5361 10722 12509 16083 25018 32166 37527 48249 75054 96498 112581 144747 225162 289494 337743 644507 675486 1013229 1289014 1933521 2026458 3867042 4511549 5800563 9023098 11601126 13534647 17401689 27069294 34803378 40603941 52205067 81207882 104410134 121811823 243623646 365435469 730870938 1151734009 2303468018 3455202027 6910404054 8062138063 10365606081 16124276126 20731212162 24186414189 31096818243 48372828378 62193636486 72559242567 93290454729 145118485134 186580909458 217677727701 435355455402 653033183103 1306066366206