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1312708968 = 233218232069
BaseRepresentation
bin100111000111110…
…0101100101101000
310101111002112011200
41032033211211220
510142023141333
6334131524200
744346561564
oct11617454550
93344075150
101312708968
11613a9874a
12307759660
1317bc6788c
14c64ac6a4
157a3a0c13
hex4e3e5968

1312708968 has 24 divisors (see below), whose sum is σ = 3555253650. Its totient is φ = 437569632.

The previous prime is 1312708963. The next prime is 1312708973. The reversal of 1312708968 is 8698072131.

It is an interprime number because it is at equal distance from previous prime (1312708963) and next prime (1312708973).

It can be written as a sum of positive squares in only one way, i.e., 1312033284 + 675684 = 36222^2 + 822^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1312708961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9115963 + ... + 9116106.

Almost surely, 21312708968 is an apocalyptic number.

1312708968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1312708968 is an abundant number, since it is smaller than the sum of its proper divisors (2242544682).

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

1312708968 is a wasteful number, since it uses less digits than its factorization.

1312708968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18232081 (or 18232074 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1312708968 is about 36231.3257830844. The cubic root of 1312708968 is about 1094.9378885142.

The spelling of 1312708968 in words is "one billion, three hundred twelve million, seven hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18232069 36464138 54696207 72928276 109392414 145856552 164088621 218784828 328177242 437569656 656354484 1312708968