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1319743411968 = 283313711291327
BaseRepresentation
bin10011001101000110110…
…101100101011100000000
311200011111012001200212110
4103031012311211130000
5133110313303140333
62450140505255320
7164230320624252
oct23150665453400
94604435050773
101319743411968
11469777828893
12193937494540
13975b3593b27
1447c3975bcd2
15244e23aa063
hex13346d65700

1319743411968 has 288 divisors, whose sum is σ = 3729846722560. Its totient is φ = 413538877440.

The previous prime is 1319743411957. The next prime is 1319743411969. The reversal of 1319743411968 is 8691143479131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319743411969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994530921 + ... + 994532247.

Almost surely, 21319743411968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319743411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864923361280).

1319743411968 is an abundant number, since it is smaller than the sum of its proper divisors (2410103310592).

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

1319743411968 is a wasteful number, since it uses less digits than its factorization.

1319743411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2529 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 1319743411968 in words is "one trillion, three hundred nineteen billion, seven hundred forty-three million, four hundred eleven thousand, nine hundred sixty-eight".