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8263250640 = 243451275193
BaseRepresentation
bin1111011001000011…
…10011001011010000
3210022212202121220000
413230201303023100
5113410343010030
63443542050000
7411525320511
oct75441631320
923285677800
108263250640
113560431567
121727419900
13a18c44b28
14585632a08
1533569a860
hex1ec8732d0

8263250640 has 100 divisors (see below), whose sum is σ = 28699516164. Its totient is φ = 2203531776.

The previous prime is 8263250629. The next prime is 8263250669. The reversal of 8263250640 is 460523628.

8263250640 is a `hidden beast` number, since 8 + 2 + 6 + 3 + 2 + 5 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6289758864 + 1973491776 = 79308^2 + 44424^2 .

It is a super-2 number, since 2×82632506402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8263250595 and 8263250604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 631117 + ... + 644076.

Almost surely, 28263250640 is an apocalyptic number.

8263250640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8263250640 is an abundant number, since it is smaller than the sum of its proper divisors (20436265524).

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

8263250640 is a wasteful number, since it uses less digits than its factorization.

8263250640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275218 (or 1275203 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8263250640 is about 90902.4237300634. The cubic root of 8263250640 is about 2021.7012299713.

The spelling of 8263250640 in words is "eight billion, two hundred sixty-three million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1275193 2550386 3825579 5100772 6375965 7651158 10201544 11476737 12751930 15302316 19127895 20403088 22953474 25503860 30604632 34430211 38255790 45906948 51007720 57383685 61209264 68860422 76511580 91813896 102015440 103290633 114767370 137720844 153023160 172151055 183627792 206581266 229534740 275441688 306046320 344302110 413162532 459069480 516453165 550883376 688604220 826325064 918138960 1032906330 1377208440 1652650128 2065812660 2754416880 4131625320 8263250640