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31628132649 = 32592812
BaseRepresentation
bin11101011101001011…
…110000000100101001
310000122012220121111100
4131131023300010221
51004233300221044
622310232352013
72166526456161
oct353513600451
9100565817440
1031628132649
1112460290203
126168245609
132ca079abb9
1417607835a1
15c51a33869
hex75d2f0129

31628132649 has 9 divisors (see below), whose sum is σ = 45685851159. Its totient is φ = 21085066080.

The previous prime is 31628132639. The next prime is 31628132677. The reversal of 31628132649 is 94623182613.

The square root of 31628132649 is 177843.

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

31628132649 is a `hidden beast` number, since 3 + 1 + 6 + 281 + 326 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28142411049 + 3485721600 = 167757^2 + 59040^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 31628132649 - 27 = 31628132521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31628132609) 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 8 ways as a sum of consecutive naturals, for example, 503889 + ... + 563169.

Almost surely, 231628132649 is an apocalyptic number.

31628132649 is the 177843-rd square number.

31628132649 is the 88922-nd centered octagonal number.

It is an amenable number.

31628132649 is a deficient number, since it is larger than the sum of its proper divisors (14057718510).

31628132649 is an frugal number, since it uses more digits than its factorization.

31628132649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118568 (or 59284 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 31628132649 in words is "thirty-one billion, six hundred twenty-eight million, one hundred thirty-two thousand, six hundred forty-nine".

Divisors: 1 3 9 59281 177843 533529 3514236961 10542710883 31628132649