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29198265625 = 5613672
BaseRepresentation
bin11011001100010110…
…100010110100011001
32210100212200120120101
4123030112202310121
5434244224000000
621225152055401
72052363106564
oct331426426431
983325616511
1029198265625
1111423729141
1257aa534561
1329a4255969
1415adb8b4db
15b5d55ce6a
hex6cc5a2d19

29198265625 has 21 divisors (see below), whose sum is σ = 36524083267. Its totient is φ = 23341525000.

The previous prime is 29198265617. The next prime is 29198265631. The reversal of 29198265625 is 52656289192.

The square root of 29198265625 is 170875.

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

It can be written as a sum of positive squares in 3 ways, for example, as 25580483721 + 3617781904 = 159939^2 + 60148^2 .

It is not a de Polignac number, because 29198265625 - 23 = 29198265617 is a prime.

It is a Duffinian number.

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 20 ways as a sum of consecutive naturals, for example, 21358692 + ... + 21360058.

Almost surely, 229198265625 is an apocalyptic number.

29198265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29198265625 is the 170875-th square number.

29198265625 is the 85438-th centered octagonal number.

It is an amenable number.

29198265625 is a deficient number, since it is larger than the sum of its proper divisors (7325817642).

29198265625 is an frugal number, since it uses more digits than its factorization.

29198265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 1372 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The spelling of 29198265625 in words is "twenty-nine billion, one hundred ninety-eight million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1367 3125 6835 15625 34175 170875 854375 1868689 4271875 9343445 21359375 46717225 233586125 1167930625 5839653125 29198265625