Search a number
-
+
200380699936921 = 721921064332
BaseRepresentation
bin101101100011111011000100…
…011100001000100010011001
3222021111012121111201122021011
4231203323010130020202121
5202231014133140440141
61550101342302213521
760131012354351200
oct5543730434104231
9867435544648234
10200380699936921
1158935a83222699
121a583156b842a1
1387a6a8523c04a
14376a698860237
1518275663ca881
hexb63ec4708899

200380699936921 has 27 divisors (see below), whose sum is σ = 246012128857791. Its totient is φ = 162713626032384.

The previous prime is 200380699936873. The next prime is 200380699936931. The reversal of 200380699936921 is 129639996083002.

It is a happy number.

The square root of 200380699936921 is 14155589.

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

It can be written as a sum of positive squares in only one way, i.e., 141709144347225 + 58671555589696 = 11904165^2 + 7659736^2 .

It is not a de Polignac number, because 200380699936921 - 217 = 200380699805849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200380699936931) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1882640121 + ... + 1882746553.

Almost surely, 2200380699936921 is an apocalyptic number.

200380699936921 is the 14155589-th square number.

200380699936921 is the 7077795-th centered octagonal number.

It is an amenable number.

200380699936921 is a deficient number, since it is larger than the sum of its proper divisors (45631428920870).

200380699936921 is an frugal number, since it uses more digits than its factorization.

200380699936921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212918 (or 106459 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 67.

The spelling of 200380699936921 in words is "two hundred trillion, three hundred eighty billion, six hundred ninety-nine million, nine hundred thirty-six thousand, nine hundred twenty-one".

Divisors: 1 7 19 49 133 361 931 2527 17689 106433 745031 2022227 5215217 14155589 38422313 99089123 268956191 1882693337 11327983489 79295884423 215231686291 555071190961 1506621804037 4089402039529 10546352628259 28625814276703 200380699936921