Search a number
-
+
196703665200 = 2432527671131031
BaseRepresentation
bin1011011100110001110…
…0111011110000110000
3200210201121122112020100
42313030130323300300
511210322114241300
6230210414112400
720132333365320
oct2671434736060
9623647575210
10196703665200
1176470100069
12321577ab700
131571a421203
1497403bb280
1551b3d97700
hex2dcc73bc30

196703665200 has 720 divisors, whose sum is σ = 799558396416. Its totient is φ = 43855257600.

The previous prime is 196703665183. The next prime is 196703665201. The reversal of 196703665200 is 2566307691.

196703665200 is a `hidden beast` number, since 1 + 9 + 67 + 0 + 3 + 66 + 520 + 0 = 666.

196703665200 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 (720).

It is a super-2 number, since 2×1967036652002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (196703665201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190788685 + ... + 190789715.

Almost surely, 2196703665200 is an apocalyptic number.

196703665200 is a gapful number since it is divisible by the number (10) 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 196703665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399779198208).

196703665200 is an abundant number, since it is smaller than the sum of its proper divisors (602854731216).

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

196703665200 is a wasteful number, since it uses less digits than its factorization.

196703665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 196703665200 in words is "one hundred ninety-six billion, seven hundred three million, six hundred sixty-five thousand, two hundred".