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196837744896 = 2836132792
BaseRepresentation
bin1011011101010001110…
…0011010000100000000
3200211001221221111000000
42313110130122010000
511211110430314041
6230232004000000
720135552140242
oct2672434320400
9624057844000
10196837744896
1176529859131
1232194690000
131573c137900
149754120092
1551c0a2ebb6
hex2dd471a100

196837744896 has 567 divisors, whose sum is σ = 646067570589. Its totient is φ = 59798808576.

The previous prime is 196837744891. The next prime is 196837744907. The reversal of 196837744896 is 698447738691.

The square root of 196837744896 is 443664.

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

196837744896 is a `hidden beast` number, since 1 + 9 + 68 + 37 + 7 + 448 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29118009600 + 167719735296 = 170640^2 + 409536^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (196837744891) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2491616985 + ... + 2491617063.

Almost surely, 2196837744896 is an apocalyptic number.

196837744896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

196837744896 is the 443664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196837744896

196837744896 is an abundant number, since it is smaller than the sum of its proper divisors (449229825693).

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

196837744896 is an frugal number, since it uses more digits than its factorization.

196837744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 97 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 196837744896 in words is "one hundred ninety-six billion, eight hundred thirty-seven million, seven hundred forty-four thousand, eight hundred ninety-six".