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8663264225 = 5271121961353
BaseRepresentation
bin10000001000101111…
…01110101111100001
3211100202110102100222
420010113232233201
5120220243423400
63551351452425
7424453350050
oct100427565741
924322412328
108663264225
113746206700
121819387115
13a80a8c665
145c27dc397
1535a863185
hex2045eebe1

8663264225 has 144 divisors (see below), whose sum is σ = 14478656640. Its totient is φ = 5018112000.

The previous prime is 8663264219. The next prime is 8663264231. The reversal of 8663264225 is 5224623668.

8663264225 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8663264219) and next prime (8663264231).

It is not a de Polignac number, because 8663264225 - 26 = 8663264161 is a prime.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 24541649 + ... + 24542001.

Almost surely, 28663264225 is an apocalyptic number.

It is an amenable number.

8663264225 is a deficient number, since it is larger than the sum of its proper divisors (5815392415).

8663264225 is a wasteful number, since it uses less digits than its factorization.

8663264225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The square root of 8663264225 is about 93076.6577880835. The cubic root of 8663264225 is about 2053.8112106984.

The spelling of 8663264225 in words is "eight billion, six hundred sixty-three million, two hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 11 19 25 35 55 61 77 95 121 133 175 209 275 305 353 385 427 475 605 665 671 847 1045 1159 1463 1525 1765 1925 2135 2299 2471 3025 3325 3355 3883 4235 4697 5225 5795 6707 7315 7381 8113 8825 10675 11495 12355 12749 16093 16775 19415 21175 21533 23485 27181 28975 33535 36575 36905 40565 42713 46949 51667 57475 61775 63745 73777 80465 89243 97075 107665 117425 135905 140239 150731 167675 184525 202825 213565 234745 236863 258335 298991 318725 368885 402325 409127 446215 516439 538325 679525 701195 753655 811547 981673 1067825 1173725 1184315 1291675 1494955 1658041 1844425 2045635 2231075 2582195 2605493 2863889 3505975 3768275 4057735 4500397 4908365 5680829 5921575 7474775 8290205 10228175 12910975 13027465 14319445 18238451 20288675 22501985 24541825 28404145 31502779 41451025 49504367 65137325 71597225 91192255 112509925 142020725 157513895 247521835 346530569 455961275 787569475 1237609175 1732652845 8663264225