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2734488983808 = 283219259103541
BaseRepresentation
bin100111110010101100001…
…111101001100100000000
3100200102012020110011012200
4213302230033221210000
5324300213134440213
65452112404553200
7401363120566551
oct47625417514400
910612166404180
102734488983808
1196476581a48a
12381b669b2800
1316ab270b392a
14964c847c328
154b1e4d23273
hex27cac3e9900

2734488983808 has 648 divisors, whose sum is σ = 8559986984640. Its totient is φ = 839091363840.

The previous prime is 2734488983719. The next prime is 2734488983861. The reversal of 2734488983808 is 8083898844372.

2734488983808 is a `hidden beast` number, since 2 + 73 + 448 + 89 + 8 + 38 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5054508018 + ... + 5054508558.

Almost surely, 22734488983808 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 2734488983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279993492320).

2734488983808 is an abundant number, since it is smaller than the sum of its proper divisors (5825498000832).

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

2734488983808 is a wasteful number, since it uses less digits than its factorization.

2734488983808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 2734488983808 in words is "two trillion, seven hundred thirty-four billion, four hundred eighty-eight million, nine hundred eighty-three thousand, eight hundred eight".