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268616012706 = 232411679532287
BaseRepresentation
bin1111101000101011000…
…0110001001110100010
3221200100022102021201100
43322022300301032202
513400111144401311
6323222301215230
725256361302166
oct3721260611642
9850308367640
10268616012706
11a3a12811118
1244086b61516
131c43ab03622
14d002d92ca6
156ec2304a56
hex3e8ac313a2

268616012706 has 96 divisors (see below), whose sum is σ = 600658426368. Its totient is φ = 86702676480.

The previous prime is 268616012699. The next prime is 268616012713. The reversal of 268616012706 is 607210616862.

268616012706 is a `hidden beast` number, since 2 + 6 + 8 + 616 + 0 + 1 + 27 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (268616012699) and next prime (268616012713).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117452295 + ... + 117454581.

It is an arithmetic number, because the mean of its divisors is an integer number (6256858608).

Almost surely, 2268616012706 is an apocalyptic number.

268616012706 is an abundant number, since it is smaller than the sum of its proper divisors (332042413662).

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

268616012706 is a wasteful number, since it uses less digits than its factorization.

268616012706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 268616012706 in words is "two hundred sixty-eight billion, six hundred sixteen million, twelve thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 41 82 123 167 246 334 369 501 738 953 1002 1503 1906 2287 2859 3006 4574 5718 6847 6861 8577 13694 13722 17154 20541 20583 39073 41082 41166 61623 78146 93767 117219 123246 159151 187534 234438 281301 318302 351657 381929 477453 562602 703314 763858 843903 954906 1145787 1432359 1687806 2179511 2291574 2864718 3437361 4359022 6525191 6538533 6874722 13050382 13077066 15659089 19575573 19615599 31318178 39151146 39231198 46977267 58726719 89359951 93954534 117453438 140931801 178719902 268079853 281863602 363978337 536159706 727956674 804239559 1091935011 1608479118 2183870022 3275805033 6551610066 14923111817 29846223634 44769335451 89538670902 134308006353 268616012706