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431986764049 = 6572572
BaseRepresentation
bin1100100100101000110…
…10101110100100010001
31112022000220022100021121
412102110122232210101
524034202102422144
6530241343322241
743132014623611
oct6222432564421
91468026270247
10431986764049
111572282a2695
126b87b5b0381
13319754c5069
1416ca041ca41
15b384b6d384
hex64946ae911

431986764049 has 3 divisors (see below), whose sum is σ = 431987421307. Its totient is φ = 431986106792.

The previous prime is 431986764043. The next prime is 431986764067. The reversal of 431986764049 is 940467689134.

The square root of 431986764049 is 657257.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 940467689134 = 2470233844567.

It can be written as a sum of positive squares in only one way, i.e., 88628267025 + 343358497024 = 297705^2 + 585968^2 .

It is not a de Polignac number, because 431986764049 - 219 = 431986239761 is a prime.

It is a super-2 number, since 2×4319867640492 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431986764043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 328629 + ... + 985885.

Almost surely, 2431986764049 is an apocalyptic number.

431986764049 is the 657257-th square number.

431986764049 is the 328629-th centered octagonal number.

It is an amenable number.

431986764049 is a deficient number, since it is larger than the sum of its proper divisors (657258).

431986764049 is an frugal number, since it uses more digits than its factorization.

431986764049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314514 (or 657257 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 431986764049 in words is "four hundred thirty-one billion, nine hundred eighty-six million, seven hundred sixty-four thousand, forty-nine".

Divisors: 1 657257 431986764049