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205400003533 = 1746160143609
BaseRepresentation
bin1011111101001011001…
…0110101001111001101
3201122011200100021202021
42333102302311033031
511331124400103113
6234205350530141
720561001136354
oct2772262651715
9648150307667
10205400003533
117a122a4683a
1233984066951
13164a4cc0b3a
149d2734899b
15552259048d
hex2fd2cb53cd

205400003533 has 16 divisors (see below), whose sum is σ = 218321777520. Its totient is φ = 192572928000.

The previous prime is 205400003483. The next prime is 205400003573. The reversal of 205400003533 is 335300004502.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 116704809 + 205283298724 = 10803^2 + 453082^2 .

It is a cyclic number.

It is not a de Polignac number, because 205400003533 - 237 = 67961050061 is a prime.

It is a super-2 number, since 2×2054000035332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205400003498 and 205400003507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205400003573) 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 15 ways as a sum of consecutive naturals, for example, 4688233 + ... + 4731841.

It is an arithmetic number, because the mean of its divisors is an integer number (13645111095).

Almost surely, 2205400003533 is an apocalyptic number.

It is an amenable number.

205400003533 is a deficient number, since it is larger than the sum of its proper divisors (12921773987).

205400003533 is a wasteful number, since it uses less digits than its factorization.

205400003533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44688.

The product of its (nonzero) digits is 5400, while the sum is 25.

The spelling of 205400003533 in words is "two hundred five billion, four hundred million, three thousand, five hundred thirty-three".

Divisors: 1 17 461 601 7837 10217 43609 277061 741353 4710037 20103749 26209009 341763733 445553153 12082353149 205400003533