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196688702016 = 263217210872
BaseRepresentation
bin1011011100101110001…
…1110110101001000000
3200210200120111022121100
42313023203312221000
511210304301431031
6230205121254400
720132062245012
oct2671343665100
9623616438540
10196688702016
117646270aaa4
1232152794400
13157172b2561
14973c4041b2
1551b28ddde6
hex2dcb8f6a40

196688702016 has 189 divisors, whose sum is σ = 599437979049. Its totient is φ = 61649491968.

The previous prime is 196688701901. The next prime is 196688702029. The reversal of 196688702016 is 610207886691.

The square root of 196688702016 is 443496.

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

196688702016 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 only one way, i.e., 153131342400 + 43557359616 = 391320^2 + 208704^2 .

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, 180945825 + ... + 180946911.

Almost surely, 2196688702016 is an apocalyptic number.

196688702016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196688702016 is the 443496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196688702016

196688702016 is an abundant number, since it is smaller than the sum of its proper divisors (402749277033).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196688702016 is an equidigital number, since it uses as much as digits as its factorization.

196688702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 196688 and 702016, that added together give a square (898704 = 9482).

The spelling of 196688702016 in words is "one hundred ninety-six billion, six hundred eighty-eight million, seven hundred two thousand, sixteen".