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270989311833009 = 3272112712632
BaseRepresentation
bin111101100111011010011101…
…101010110111001110110001
31022112111022210002000010002100
4331213122131222313032301
5241004342102312124014
62400202434331011013
7111036221524646100
oct7547323552671661
91275438702003070
10270989311833009
1179388a15942300
1226487664299a69
13b82924ab18843
144acbd4a1d6037
15214e0c1d07009
hexf6769dab73b1

270989311833009 has 81 divisors (see below), whose sum is σ = 500500073431449. Its totient is φ = 140771693074320.

The previous prime is 270989311833007. The next prime is 270989311833139. The reversal of 270989311833009 is 900338113989072.

The square root of 270989311833009 is 16461753.

It is a perfect power (a square), and thus also a powerful number.

270989311833009 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 8 + 9 + 311 + 8 + 3 + 300 + 9 = 666.

It is not a de Polignac number, because 270989311833009 - 21 = 270989311833007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (270989311833007) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3802629312 + ... + 3802700574.

Almost surely, 2270989311833009 is an apocalyptic number.

270989311833009 is the 16461753-rd square number.

270989311833009 is the 8230877-th centered octagonal number.

It is an amenable number.

270989311833009 is a deficient number, since it is larger than the sum of its proper divisors (229510761598440).

270989311833009 is an frugal number, since it uses more digits than its factorization.

270989311833009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142568 (or 71284 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 270989311833009 in words is "two hundred seventy trillion, nine hundred eighty-nine billion, three hundred eleven million, eight hundred thirty-three thousand, nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 53361 71263 213789 498841 641367 783893 1496523 2351679 3491887 4489569 5487251 7055037 8622823 10475661 16461753 25868469 31426983 38410757 49385259 60359761 77605407 115232271 181079283 345696813 422518327 543237849 1267554981 3802664943 5078415169 15235245507 35548906183 45705736521 55862566859 106646718549 167587700577 248842343281 319940155647 391037968013 502763101731 614488235449 746527029843 1173113904039 1843464706347 2239581089529 2737265776091 3519341712117 4301417648143 5530394119041 8211797328273 12904252944429 24635391984819 30109923537001 38712758833287 90329770611003 270989311833009