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6625056005271 = 3211314317336833
BaseRepresentation
bin110000001101000010000…
…0111000001110010010111
3212110100102112200112222200
41200122010013001302113
51332021103314132041
622031301514255543
71252434030616224
oct140320407016227
925410375615880
106625056005271
112124741444620
128abb91a275b3
13390981002412
1418c923a3894b
15b74ed88c1b6
hex606841c1c97

6625056005271 has 96 divisors (see below), whose sum is σ = 10817561124864. Its totient is φ = 3870792576000.

The previous prime is 6625056005221. The next prime is 6625056005297. The reversal of 6625056005271 is 1725006505266.

6625056005271 is a `hidden beast` number, since 6 + 62 + 5 + 0 + 5 + 60 + 0 + 527 + 1 = 666.

It is not a de Polignac number, because 6625056005271 - 218 = 6625055743127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6625056005201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 969564271 + ... + 969571103.

It is an arithmetic number, because the mean of its divisors is an integer number (112682928384).

Almost surely, 26625056005271 is an apocalyptic number.

6625056005271 is a deficient number, since it is larger than the sum of its proper divisors (4192505119593).

6625056005271 is a wasteful number, since it uses less digits than its factorization.

6625056005271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 6625056005271 in words is "six trillion, six hundred twenty-five billion, fifty-six million, five thousand, two hundred seventy-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 431 733 1023 1293 2199 3069 3879 4741 6597 6833 8063 13361 14223 20499 22723 24189 40083 42669 61497 68169 72567 75163 120249 146971 204507 211823 225489 249953 315923 440913 635469 676467 749859 947769 1322739 1906407 2249577 2330053 2843307 2945023 3475153 5008589 6990159 8835069 9793613 10425459 15025767 20970477 26505207 29380839 31276377 32395253 45077301 55094479 88142517 91295713 97185759 107729743 155266259 165283437 273887139 291557277 323189229 465798777 495850311 821661417 969567687 1004252843 1397396331 1707928849 2158701859 3012758529 5123786547 6476105577 9038275587 15371359641 19428316731 23745720449 66919757629 71237161347 200759272887 213711484041 602277818661 736117333919 2208352001757 6625056005271