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196138265625 = 325611812
BaseRepresentation
bin1011011010101011000…
…0000110110000011001
3200202021012202020211100
42312222300012300121
511203142344000000
6230034335422013
720112326515131
oct2665260066031
9622235666740
10196138265625
11761aaa34a95
123201a384909
131565a24b553
1496c927dac1
15517e411a00
hex2daac06c19

196138265625 has 63 divisors (see below), whose sum is σ = 354434115529. Its totient is φ = 104518500000.

The previous prime is 196138265623. The next prime is 196138265627. The reversal of 196138265625 is 526562831691.

The square root of 196138265625 is 442875.

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

196138265625 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 3 + 8 + 2 + 6 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (196138265623) and next prime (196138265627).

It can be written as a sum of positive squares in 10 ways, for example, as 195241143321 + 897122304 = 441861^2 + 29952^2 .

It is not a de Polignac number, because 196138265625 - 21 = 196138265623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196138265623) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 166077535 + ... + 166078715.

Almost surely, 2196138265625 is an apocalyptic number.

196138265625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

196138265625 is the 442875-th square number.

196138265625 is the 221438-th centered octagonal number.

It is an amenable number.

196138265625 is a deficient number, since it is larger than the sum of its proper divisors (158295849904).

196138265625 is an frugal number, since it uses more digits than its factorization.

196138265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 1189 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 196138265625 in words is "one hundred ninety-six billion, one hundred thirty-eight million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1181 1875 3125 3543 5625 5905 9375 10629 15625 17715 28125 29525 46875 53145 88575 140625 147625 265725 442875 738125 1328625 1394761 2214375 3690625 4184283 6643125 6973805 11071875 12552849 18453125 20921415 33215625 34869025 55359375 62764245 104607075 166078125 174345125 313821225 523035375 871725625 1569106125 2615176875 4358628125 7845530625 13075884375 21793140625 39227653125 65379421875 196138265625