Search a number
-
+
200191703040 = 211335732111
BaseRepresentation
bin1011101001110001011…
…0101111100000000000
3201010201201000012122000
42322130112233200000
511234443033444130
6231544454544000
720314636254000
oct2723426574000
9633651005560
10200191703040
117799aaa756a
123296b968000
1315b54c5cb24
149991744000
15531a1e0260
hex2e9c5af800

200191703040 has 768 divisors, whose sum is σ = 830269440000. Its totient is φ = 45736427520.

The previous prime is 200191703011. The next prime is 200191703057. The reversal of 200191703040 is 40307191002.

200191703040 is a `hidden beast` number, since 200 + 1 + 91 + 70 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200191702995 and 200191703013.

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 63 ways as a sum of consecutive naturals, for example, 94831585 + ... + 94833695.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080000).

Almost surely, 2200191703040 is an apocalyptic number.

200191703040 is a gapful number since it is divisible by the number (20) 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 200191703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720000).

200191703040 is an abundant number, since it is smaller than the sum of its proper divisors (630077736960).

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

200191703040 is an equidigital number, since it uses as much as digits as its factorization.

200191703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 200191703040 its reverse (40307191002), we get a palindrome (240498894042).

The spelling of 200191703040 in words is "two hundred billion, one hundred ninety-one million, seven hundred three thousand, forty".