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914384690912 = 257113193141127
BaseRepresentation
bin11010100111001011001…
…00110001111011100000
310020102012001010002112102
431103211210301323200
5104440124440102122
61540021301145532
7123030206426630
oct15234544617340
93212161102472
10914384690912
11322874358000
121292696bb2a8
13682c29a9334
14323839da6c0
1518bba2ec492
hexd4e5931ee0

914384690912 has 768 divisors, whose sum is σ = 2538696867840. Its totient is φ = 316141056000.

The previous prime is 914384690887. The next prime is 914384690939. The reversal of 914384690912 is 219096483419.

914384690912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7199879393 + ... + 7199879519.

It is an arithmetic number, because the mean of its divisors is an integer number (3305594880).

Almost surely, 2914384690912 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 914384690912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269348433920).

914384690912 is an abundant number, since it is smaller than the sum of its proper divisors (1624312176928).

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

914384690912 is a wasteful number, since it uses less digits than its factorization.

914384690912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 914384690912 in words is "nine hundred fourteen billion, three hundred eighty-four million, six hundred ninety thousand, nine hundred twelve".