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6728750226 = 2321125952363
BaseRepresentation
bin1100100010001000…
…01001010010010010
3122100221022221001100
412101010021102102
5102240030001401
63031404245230
7325513301412
oct62104112222
918327287040
106728750226
112943227700
121379540816
13833063313
1447b90c642
15295ad8b86
hex191109492

6728750226 has 72 divisors (see below), whose sum is σ = 16296724080. Its totient is φ = 2004417360.

The previous prime is 6728750207. The next prime is 6728750233. The reversal of 6728750226 is 6220578276.

6728750226 is a `hidden beast` number, since 67 + 2 + 87 + 502 + 2 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102321 + ... + 154683.

It is an arithmetic number, because the mean of its divisors is an integer number (226343390).

Almost surely, 26728750226 is an apocalyptic number.

6728750226 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6728750226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148362040).

6728750226 is an abundant number, since it is smaller than the sum of its proper divisors (9567973854).

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

6728750226 is a wasteful number, since it uses less digits than its factorization.

6728750226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52452 (or 52438 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6728750226 is about 82028.9596788841. The cubic root of 6728750226 is about 1887.8963021259.

The spelling of 6728750226 in words is "six billion, seven hundred twenty-eight million, seven hundred fifty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 121 177 198 242 354 363 531 649 726 1062 1089 1298 1947 2178 3894 5841 7139 11682 14278 21417 42834 52363 64251 104726 128502 157089 314178 471267 575993 942534 1151986 1727979 3089417 3455958 5183937 6178834 6335923 9268251 10367874 12671846 18536502 19007769 27804753 33983587 38015538 55609506 57023307 67967174 101950761 114046614 203901522 305852283 373819457 611704566 747638914 1121458371 2242916742 3364375113 6728750226