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6909196246225 = 52721325321092
BaseRepresentation
bin110010010001010110000…
…1100000001110011010001
3220110111211202200100100121
41210202230030001303101
51401200013214334400
622410012501550241
71312113216044200
oct144425414016321
926414752610317
106909196246225
1122241a0182139
1293706ba15381
133b16c413aa00
1419c59a6b3237
15beacda0821a
hex648ac301cd1

6909196246225 has 243 divisors, whose sum is σ = 11101058473113. Its totient is φ = 4251413537280.

The previous prime is 6909196246219. The next prime is 6909196246241. The reversal of 6909196246225 is 5226426919096.

The square root of 6909196246225 is 2628535.

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

It can be written as a sum of positive squares in 40 ways, for example, as 6838648636561 + 70547609664 = 2615081^2 + 265608^2 .

It is not a de Polignac number, because 6909196246225 - 27 = 6909196246097 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 242 ways as a sum of consecutive naturals, for example, 63387121471 + ... + 63387121579.

Almost surely, 26909196246225 is an apocalyptic number.

6909196246225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6909196246225 is the 2628535-th square number.

6909196246225 is the 1314268-th centered octagonal number.

It is an amenable number.

6909196246225 is a deficient number, since it is larger than the sum of its proper divisors (4191862226888).

6909196246225 is a wasteful number, since it uses less digits than its factorization.

6909196246225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 61.

The spelling of 6909196246225 in words is "six trillion, nine hundred nine billion, one hundred ninety-six million, two hundred forty-six thousand, two hundred twenty-five".