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196851536541696 = 2113436158720809
BaseRepresentation
bin101100110000100100010001…
…111010001011100000000000
3221210222211020001011200012110
4230300210101322023200000
5201300203421323313241
61534400203014455320
756315024404426521
oct5460442172134000
9853884201150173
10196851536541696
11577a52a4517aa3
121a0b3191364540
1385ac0356274ca
143687945472848
1517b5860ad2816
hexb30911e8b800

196851536541696 has 384 divisors, whose sum is σ = 546773766739200. Its totient is φ = 62930103828480.

The previous prime is 196851536541679. The next prime is 196851536541703. The reversal of 196851536541696 is 696145635158691.

196851536541696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 9459912540 + ... + 9459933348.

It is an arithmetic number, because the mean of its divisors is an integer number (1423890017550).

Almost surely, 2196851536541696 is an apocalyptic number.

196851536541696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196851536541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273386883369600).

196851536541696 is an abundant number, since it is smaller than the sum of its proper divisors (349922230197504).

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

196851536541696 is a wasteful number, since it uses less digits than its factorization.

196851536541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21525 (or 21505 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 75.

The spelling of 196851536541696 in words is "one hundred ninety-six trillion, eight hundred fifty-one billion, five hundred thirty-six million, five hundred forty-one thousand, six hundred ninety-six".