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272234168160006 = 231314933289703657
BaseRepresentation
bin111101111001100001110100…
…111000111000111100000110
31022200220022222020210201211010
4331321201310320320330012
5241140241034022110011
62402554352250223050
7111225161320101513
oct7571416470707406
91280808866721733
10272234168160006
1179818953883818
1226648980124a86
13b8b975861c570
144b322bdc7030a
15217167ea011a6
hexf79874e38f06

272234168160006 has 64 divisors (see below), whose sum is σ = 590304325464000. Its totient is φ = 83199564896256.

The previous prime is 272234168159909. The next prime is 272234168160013. The reversal of 272234168160006 is 600061861432272.

It is a super-2 number, since 2×2722341681600062 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386532930 + ... + 387236586.

It is an arithmetic number, because the mean of its divisors is an integer number (9223505085375).

Almost surely, 2272234168160006 is an apocalyptic number.

272234168160006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

272234168160006 is an abundant number, since it is smaller than the sum of its proper divisors (318070157303994).

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

272234168160006 is a wasteful number, since it uses less digits than its factorization.

272234168160006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737113.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 272234168160006 in words is "two hundred seventy-two trillion, two hundred thirty-four billion, one hundred sixty-eight million, one hundred sixty thousand, six".

Divisors: 1 2 3 6 13 26 39 78 149 298 447 894 1937 3874 5811 11622 33289 66578 99867 199734 432757 703657 865514 1298271 1407314 2110971 2596542 4221942 4960061 9147541 9920122 14880183 18295082 27442623 29760366 54885246 64480793 104844893 128961586 193442379 209689786 314534679 386884758 629069358 1362983609 2725967218 4088950827 8177901654 23424037873 46848075746 70272113619 140544227238 304512492349 609024984698 913537477047 1827074954094 3490181643077 6980363286154 10470544929231 20941089858462 45372361360001 90744722720002 136117084080003 272234168160006