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31348960729 = 612341219529
BaseRepresentation
bin11101001100100010…
…110010110111011001
32222220202121012121121
4131030202302313121
51003200313220404
622222421005241
72156566524652
oct351442626731
988822535547
1031348960729
1112327742209
1260aa853821
132c579b3408
141735672529
15c3728ae54
hex74c8b2dd9

31348960729 has 8 divisors (see below), whose sum is σ = 31876634120. Its totient is φ = 30821731200.

The previous prime is 31348960723. The next prime is 31348960751. The reversal of 31348960729 is 92706984313.

It can be written as a sum of positive squares in 4 ways, for example, as 1550025 + 31347410704 = 1245^2 + 177052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31348960729 - 25 = 31348960697 is a prime.

It is a super-2 number, since 2×313489607292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31348960723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33037 + ... + 252565.

It is an arithmetic number, because the mean of its divisors is an integer number (3984579265).

Almost surely, 231348960729 is an apocalyptic number.

It is an amenable number.

31348960729 is a deficient number, since it is larger than the sum of its proper divisors (527673391).

31348960729 is a wasteful number, since it uses less digits than its factorization.

31348960729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221931.

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 31348960729 in words is "thirty-one billion, three hundred forty-eight million, nine hundred sixty thousand, seven hundred twenty-nine".

Divisors: 1 61 2341 142801 219529 13391269 513917389 31348960729