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203539029409 = 2924723312
BaseRepresentation
bin1011110110001111011…
…1110001110110100001
3201110100222121000011201
42331203313301312201
511313321442420114
6233300551441201
720463613130002
oct2754367616641
9643328530151
10203539029409
11793585263a1
1233544986201
13162695a2611
149bcc11d1a9
155463ee0874
hex2f63df1da1

203539029409 has 27 divisors (see below), whose sum is σ = 216032824371. Its totient is φ = 191758071120.

The previous prime is 203539029383. The next prime is 203539029497. The reversal of 203539029409 is 904920935302.

It is a happy number.

The square root of 203539029409 is 451153.

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., 106730929809 + 96808099600 = 326697^2 + 311140^2 .

It is not a de Polignac number, because 203539029409 - 29 = 203539028897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203539026409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 614921374 + ... + 614921704.

Almost surely, 2203539029409 is an apocalyptic number.

203539029409 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

203539029409 is the 451153-rd square number.

203539029409 is the 225577-th centered octagonal number.

It is an amenable number.

203539029409 is a deficient number, since it is larger than the sum of its proper divisors (12493794962).

203539029409 is an frugal number, since it uses more digits than its factorization.

203539029409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 203539029409 in words is "two hundred three billion, five hundred thirty-nine million, twenty-nine thousand, four hundred nine".

Divisors: 1 29 47 331 841 1363 2209 9599 15557 39527 64061 109561 278371 451153 731179 1857769 3177269 5149367 13083437 21204191 92140801 149331643 242020249 614921539 4330617647 7018587221 203539029409