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270042128887302 = 232295966113265009
BaseRepresentation
bin111101011001101000010101…
…001010101010111000000110
31022102010202221021012001020100
4331121220111022222320012
5240343332234443343202
62354155350313144530
7110610620456521062
oct7531502512527006
91272122837161210
10270042128887302
1179053250856002
1226353b826bb146
13b78ab2c10b665
144a981746a2aa2
1521346373dd41c
hexf59a152aae06

270042128887302 has 96 divisors (see below), whose sum is σ = 616456850724000. Its totient is φ = 85307797048320.

The previous prime is 270042128887171. The next prime is 270042128887303. The reversal of 270042128887302 is 203788821240072.

270042128887302 is a `hidden beast` number, since 2 + 70 + 0 + 421 + 2 + 8 + 88 + 73 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270042128887303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13724974 + ... + 26989982.

It is an arithmetic number, because the mean of its divisors is an integer number (6421425528375).

Almost surely, 2270042128887302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270042128887302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308228425362000).

270042128887302 is an abundant number, since it is smaller than the sum of its proper divisors (346414721836698).

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

270042128887302 is a wasteful number, since it uses less digits than its factorization.

270042128887302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265766 (or 13265763 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 270042128887302 in words is "two hundred seventy trillion, forty-two billion, one hundred twenty-eight million, eight hundred eighty-seven thousand, three hundred two".

Divisors: 1 2 3 6 9 18 29 58 59 87 118 174 177 261 354 522 531 661 1062 1322 1711 1983 3422 3966 5133 5949 10266 11898 15399 19169 30798 38338 38999 57507 77998 115014 116997 172521 233994 345042 350991 701982 1130971 2261942 3392913 6785826 10178739 13265009 20357478 26530018 39795027 79590054 119385081 238770162 384685261 769370522 782635531 1154055783 1565271062 2308111566 2347906593 3462167349 4695813186 6924334698 7043719779 8768170949 14087439558 17536341898 22696430399 26304512847 45392860798 52609025694 68089291197 78913538541 136178582394 157827077082 204267873591 254276957521 408535747182 508553915042 517322085991 762830872563 1034644171982 1525661745126 1551966257973 2288492617689 3103932515946 4576985235378 4655898773919 9311797547838 15002340493739 30004680987478 45007021481217 90014042962434 135021064443651 270042128887302