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272054572891002 = 2321116367312525301
BaseRepresentation
bin111101110110111010100100…
…001011010011101101111010
31022200021011101221121210010100
4331312322210023103231322
5241124320231130003002
62402340051224300230
7111206202634356246
oct7566724413235572
91280234357553110
10272054572891002
1179759772a48a70
1226619bba011676
13b8a58367b4b15
144b27723b0b426
15216bb6cae311c
hexf76ea42d3b7a

272054572891002 has 96 divisors (see below), whose sum is σ = 647944493916096. Its totient is φ = 81813255552000.

The previous prime is 272054572891001. The next prime is 272054572891121. The reversal of 272054572891002 is 200198275450272.

It is a happy number.

272054572891002 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 5 + 457 + 2 + 89 + 100 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 272054572891002.

It is not an unprimeable number, because it can be changed into a prime (272054572891001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15457752 + ... + 27983052.

It is an arithmetic number, because the mean of its divisors is an integer number (6749421811626).

Almost surely, 2272054572891002 is an apocalyptic number.

272054572891002 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 272054572891002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323972246958048).

272054572891002 is an abundant number, since it is smaller than the sum of its proper divisors (375889921025094).

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

272054572891002 is a wasteful number, since it uses less digits than its factorization.

272054572891002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526156 (or 12526153 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 272054572891002 in words is "two hundred seventy-two trillion, fifty-four billion, five hundred seventy-two million, eight hundred ninety-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 489 673 978 1346 1467 1793 2019 2934 3586 4038 5379 6057 7403 10758 12114 14806 16137 22209 32274 44418 66627 109699 133254 219398 329097 658194 987291 1206689 1974582 2413378 3620067 7240134 10860201 12525301 21720402 25050602 37575903 75151806 112727709 137778311 225455418 275556622 413334933 826669866 1240004799 2041624063 2480009598 4083248126 6124872189 8429527573 12249744378 16859055146 18374616567 22457864693 25288582719 36749233134 44915729386 50577165438 67373594079 75865748157 92724803303 134747188158 151731496314 185449606606 202120782237 278174409909 404241564474 556348819818 834523229727 1374012994399 1669046459454 2748025988798 4122038983197 8244077966394 12366116949591 15114142938389 24732233899182 30228285876778 45342428815167 90684857630334 136027286445501 272054572891002