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200375302689 = 365922812
BaseRepresentation
bin1011101010011101001…
…1000111101000100001
3201011012111111001000000
42322213103013220201
511240332034141224
6232015014050213
720322325653642
oct2724723075041
9634174431000
10200375302689
1177a846a8711
1232a01349969
1315b83cc4283
1499abc976c9
15532b3aa0c9
hex2ea74c7a21

200375302689 has 63 divisors (see below), whose sum is σ = 306695213059. Its totient is φ = 130852078560.

The previous prime is 200375302667. The next prime is 200375302739. The reversal of 200375302689 is 986203573002.

The square root of 200375302689 is 447633.

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

200375302689 is a `hidden beast` number, since 2 + 0 + 0 + 37 + 530 + 2 + 6 + 89 = 666.

200375302689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135411488289 + 64963814400 = 367983^2 + 254880^2 .

It is not a de Polignac number, because 200375302689 - 211 = 200375300641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200375302889) 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 62 ways as a sum of consecutive naturals, for example, 713079229 + ... + 713079509.

Almost surely, 2200375302689 is an apocalyptic number.

200375302689 is the 447633-rd square number.

200375302689 is the 223817-th centered octagonal number.

It is an amenable number.

200375302689 is a deficient number, since it is larger than the sum of its proper divisors (106319910370).

200375302689 is an frugal number, since it uses more digits than its factorization.

200375302689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 200375302689 in words is "two hundred billion, three hundred seventy-five million, three hundred two thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 59 81 177 243 281 531 729 843 1593 2529 3481 4779 7587 10443 14337 16579 22761 31329 43011 49737 68283 78961 93987 149211 204849 236883 281961 447633 710649 845883 978161 1342899 2131947 2537649 2934483 4028697 4658699 6395841 8803449 12086091 13976097 19187523 26410347 41928291 57562569 79231041 125784873 237693123 274863241 377354619 713079369 824589723 1132063857 2473769169 3396191571 7421307507 22263922521 66791767563 200375302689