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6726460225 = 524723492
BaseRepresentation
bin1100100001110110…
…11010001101000001
3122100210000120202111
412100323122031001
5102233433211400
63031243215321
7325454653132
oct62073321501
918323016674
106726460225
112941a03141
121378817541
13832740ba4
1447b4b3c89
152957d53ba
hex190eda341

6726460225 has 27 divisors (see below), whose sum is σ = 8546539017. Its totient is φ = 5251584480.

The previous prime is 6726460207. The next prime is 6726460241. The reversal of 6726460225 is 5220646276.

The square root of 6726460225 is 82015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69205761 + 6657254464 = 8319^2 + 81592^2 .

It is a de Polignac number, because none of the positive numbers 2k-6726460225 is a prime.

It is a super-3 number, since 3×67264602253 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19273351 + ... + 19273699.

Almost surely, 26726460225 is an apocalyptic number.

6726460225 is the 82015-th square number.

6726460225 is the 41008-th centered octagonal number.

It is an amenable number.

6726460225 is a deficient number, since it is larger than the sum of its proper divisors (1820078792).

6726460225 is an frugal number, since it uses more digits than its factorization.

6726460225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The cubic root of 6726460225 is about 1887.6821080672.

The spelling of 6726460225 in words is "six billion, seven hundred twenty-six million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 349 1175 1745 2209 8725 11045 16403 55225 82015 121801 410075 609005 770941 3045025 3854705 5724647 19273525 28623235 143116175 269058409 1345292045 6726460225