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26227802500 = 2254412792
BaseRepresentation
bin11000011011010011…
…001000000110000100
32111200212020102012121
4120123103020012010
5412203304140000
620014320455324
71615643433334
oct303323100604
974625212177
1026227802500
1110139a02239
1250bb77a544
13261ca13683
1413ab4730c4
15a378a0b1a
hex61b4c8184

26227802500 has 135 divisors (see below), whose sum is σ = 59541550761. Its totient is φ = 10105680000.

The previous prime is 26227802473. The next prime is 26227802501. The reversal of 26227802500 is 520872262.

It is a happy number.

The square root of 26227802500 is 161950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 26125549956 + 102252544 = 161634^2 + 10112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26227802501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 331997461 + ... + 331997539.

Almost surely, 226227802500 is an apocalyptic number.

26227802500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26227802500 is the 161950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26227802500

26227802500 is an abundant number, since it is smaller than the sum of its proper divisors (33313748261).

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

26227802500 is an frugal number, since it uses more digits than its factorization.

26227802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 26227802500 in words is "twenty-six billion, two hundred twenty-seven million, eight hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 79 82 100 125 158 164 205 250 316 395 410 500 625 790 820 1025 1250 1580 1681 1975 2050 2500 3239 3362 3950 4100 5125 6241 6478 6724 7900 8405 9875 10250 12482 12956 16195 16810 19750 20500 24964 25625 31205 32390 33620 39500 42025 49375 51250 62410 64780 80975 84050 98750 102500 124820 132799 156025 161950 168100 197500 210125 255881 265598 312050 323900 404875 420250 511762 531196 624100 663995 780125 809750 840500 1023524 1050625 1279405 1327990 1560250 1619500 2024375 2101250 2558810 2655980 3120500 3319975 3900625 4048750 4202500 5117620 6397025 6639950 7801250 8097500 10491121 12794050 13279900 15602500 16599875 20982242 25588100 31985125 33199750 41964484 52455605 63970250 66399500 82999375 104911210 127940500 159925625 165998750 209822420 262278025 319851250 331997500 524556050 639702500 1049112100 1311390125 2622780250 5245560500 6556950625 13113901250 26227802500