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270145593102 = 237113738634091
BaseRepresentation
bin1111101110010111101…
…1101001111100001110
3221211021220121000120010
43323211323221330032
513411224232434402
6324034141334050
725342313440230
oct3734573517416
9854256530503
10270145593102
11a4628165550
1244433267326
131c622981898
14d10a196250
157061743a6c
hex3ee5ee9f0e

270145593102 has 128 divisors (see below), whose sum is σ = 692163698688. Its totient is φ = 68236905600.

The previous prime is 270145593077. The next prime is 270145593161. The reversal of 270145593102 is 201395541072.

270145593102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66032077 + ... + 66036167.

It is an arithmetic number, because the mean of its divisors is an integer number (5407528896).

Almost surely, 2270145593102 is an apocalyptic number.

270145593102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 270145593102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346081849344).

270145593102 is an abundant number, since it is smaller than the sum of its proper divisors (422018105586).

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

270145593102 is a wasteful number, since it uses less digits than its factorization.

270145593102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014.

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 270145593102 in words is "two hundred seventy billion, one hundred forty-five million, five hundred ninety-three thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 222 231 259 407 462 518 777 814 1221 1554 2442 2849 3863 4091 5698 7726 8182 8547 11589 12273 17094 23178 24546 27041 28637 42493 45001 54082 57274 81123 84986 85911 90002 127479 135003 142931 151367 162246 171822 254958 270006 285862 297451 302734 315007 428793 454101 594902 630014 857586 892353 908202 945021 1000517 1059569 1572241 1665037 1784706 1890042 2001034 2119138 3001551 3144482 3178707 3330074 4716723 4995111 6003102 6357414 9433446 9990222 11005687 11655259 15803533 22011374 23310518 31607066 33017061 34965777 47410599 66034122 69931554 94821198 110624731 173838863 221249462 331874193 347677726 521516589 584730721 663748386 1043033178 1169461442 1216872041 1754192163 2433744082 3508384326 3650616123 4093115047 6432037931 7301232246 8186230094 12279345141 12864075862 19296113793 24558690282 38592227586 45024265517 90048531034 135072796551 270145593102