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200047769289 = 32292532972
BaseRepresentation
bin1011101001001111000…
…1101011011011001001
3201010100200011121122100
42322103301223123021
511234144212104124
6231522313544013
720311240661034
oct2722361533311
9633320147570
10200047769289
1177926828a55
123292b715009
1315b311a6124
14997a59801b
15530c75d1c9
hex2e93c6b6c9

200047769289 has 81 divisors (see below), whose sum is σ = 308195539743. Its totient is φ = 125034384384.

The previous prime is 200047769281. The next prime is 200047769293. The reversal of 200047769289 is 982967740002.

The square root of 200047769289 is 447267.

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

200047769289 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 477 + 6 + 92 + 89 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 60679946889 + 139367822400 = 246333^2 + 373320^2 .

It is not a de Polignac number, because 200047769289 - 23 = 200047769281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200047769281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2062348089 + ... + 2062348185.

Almost surely, 2200047769289 is an apocalyptic number.

200047769289 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

200047769289 is the 447267-th square number.

200047769289 is the 223634-th centered octagonal number.

It is an amenable number.

200047769289 is a deficient number, since it is larger than the sum of its proper divisors (108147770454).

200047769289 is an frugal number, since it uses more digits than its factorization.

200047769289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 200047769289 in words is "two hundred billion, forty-seven million, seven hundred sixty-nine thousand, two hundred eighty-nine".

Divisors: 1 3 9 29 53 87 97 159 261 291 477 841 873 1537 2523 2809 2813 4611 5141 7569 8427 8439 9409 13833 15423 25281 25317 28227 44573 46269 81461 81577 84681 133719 149089 244383 244731 272473 272861 401157 447267 498677 733149 734193 817419 818583 1341801 1496031 2362369 2452257 2455749 4323581 4488093 7087107 7901717 7912969 12970743 14461633 21261321 23705151 23738907 26429881 38912229 43384899 71115453 71216721 79289643 130154697 229149793 237868929 419387357 687449379 766466549 1258162071 2062348137 2299399647 3774486213 6898198941 22227529921 66682589763 200047769289