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31353838672 = 2413150739609
BaseRepresentation
bin11101001100110101…
…011001110001010000
32222221002210000220011
4131030311121301100
51003203040314142
622223113324304
72156656142242
oct351465316120
988832700804
1031353838672
111232a474072
1260b0406694
132c58a00780
141736182092
15c37901417
hex74cd59c50

31353838672 has 20 divisors (see below), whose sum is σ = 65420990740. Its totient is φ = 14471002368.

The previous prime is 31353838669. The next prime is 31353838673. The reversal of 31353838672 is 27683835313.

It can be written as a sum of positive squares in 2 ways, for example, as 4825247296 + 26528591376 = 69464^2 + 162876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31353838673) 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 3 ways as a sum of consecutive naturals, for example, 75369597 + ... + 75370012.

It is an arithmetic number, because the mean of its divisors is an integer number (3271049537).

Almost surely, 231353838672 is an apocalyptic number.

It is an amenable number.

31353838672 is an abundant number, since it is smaller than the sum of its proper divisors (34067152068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31353838672 is a wasteful number, since it uses less digits than its factorization.

31353838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150739630 (or 150739624 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The spelling of 31353838672 in words is "thirty-one billion, three hundred fifty-three million, eight hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 150739609 301479218 602958436 1205916872 1959614917 2411833744 3919229834 7838459668 15676919336 31353838672