Search a number
-
+
200188970729 = 11193125974897
BaseRepresentation
bin1011101001110000110…
…0010100011011101001
3201010201111212101121022
42322130030110123221
511234441334030404
6231544320222225
720314604114036
oct2723414243351
9633644771538
10200188970729
1177999500760
123296aa6a975
1315b54514287
14999123238d
155319d508be
hex2e9c3146e9

200188970729 has 16 divisors (see below), whose sum is σ = 219696805440. Its totient is φ = 180900802560.

The previous prime is 200188970713. The next prime is 200188970771. The reversal of 200188970729 is 927079881002.

It is a happy number.

200188970729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 200188970729 - 24 = 200188970713 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200188978729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2635409 + ... + 2710305.

It is an arithmetic number, because the mean of its divisors is an integer number (13731050340).

Almost surely, 2200188970729 is an apocalyptic number.

It is an amenable number.

200188970729 is a deficient number, since it is larger than the sum of its proper divisors (19507834711).

200188970729 is a wasteful number, since it uses less digits than its factorization.

200188970729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76360.

The product of its (nonzero) digits is 1016064, while the sum is 53.

The spelling of 200188970729 in words is "two hundred billion, one hundred eighty-eight million, nine hundred seventy thousand, seven hundred twenty-nine".

Divisors: 1 11 193 1259 2123 13849 74897 242987 823867 2672857 14455121 94295323 159006331 1037248553 18198997339 200188970729