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196687815025 = 5213268232
BaseRepresentation
bin1011011100101110000…
…0011110000101110001
3200210200111211020212211
42313023200132011301
511210304040040100
6230205050252121
720132051562022
oct2671340360561
9623614736784
10196687815025
1176462164649
1232152427041
1315717061900
14973c252c49
1551b27b61ba
hex2dcb81e171

196687815025 has 27 divisors (see below), whose sum is σ = 264135747969. Its totient is φ = 145225098720.

The previous prime is 196687814993. The next prime is 196687815061. The reversal of 196687815025 is 520518786691.

It is a happy number.

The square root of 196687815025 is 443495.

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

196687815025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50696575281 + 145991239744 = 225159^2 + 382088^2 .

It is not a de Polignac number, because 196687815025 - 25 = 196687814993 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28823764 + ... + 28830586.

Almost surely, 2196687815025 is an apocalyptic number.

196687815025 is the 443495-th square number.

196687815025 is the 221748-th centered octagonal number.

It is an amenable number.

196687815025 is a deficient number, since it is larger than the sum of its proper divisors (67447932944).

196687815025 is an frugal number, since it uses more digits than its factorization.

196687815025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13682 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 58.

The spelling of 196687815025 in words is "one hundred ninety-six billion, six hundred eighty-seven million, eight hundred fifteen thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 6823 34115 88699 170575 443495 1153087 2217475 5765435 28827175 46553329 232766645 605193277 1163833225 3025966385 7867512601 15129831925 39337563005 196687815025