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1075342791168 = 29371723323
BaseRepresentation
bin11111010010111110110…
…11001101001000000000
310210210122111011210000000
433221133123031020000
5120104300223304133
62142001120000000
7140455665624222
oct17513733151000
93723574153000
101075342791168
11385060a76058
121544aa160000
137a5345a2989
143a092872412
151ce8ae41413
hexfa5f6cd200

1075342791168 has 480 divisors, whose sum is σ = 3424119145920. Its totient is φ = 337260920832.

The previous prime is 1075342791163. The next prime is 1075342791217. The reversal of 1075342791168 is 8611972435701.

1075342791168 is a `hidden beast` number, since 1 + 0 + 7 + 53 + 427 + 9 + 1 + 168 = 666.

1075342791168 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 (54).

It is not an unprimeable number, because it can be changed into a prime (1075342791163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323604355 + ... + 323607677.

It is an arithmetic number, because the mean of its divisors is an integer number (7133581554).

It is a 1-persistent number, because it is pandigital, but 2⋅1075342791168 = 2150685582336 is not.

Almost surely, 21075342791168 is an apocalyptic number.

1075342791168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075342791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712059572960).

1075342791168 is an abundant number, since it is smaller than the sum of its proper divisors (2348776354752).

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

1075342791168 is an frugal number, since it uses more digits than its factorization.

1075342791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1075342791168 in words is "one trillion, seventy-five billion, three hundred forty-two million, seven hundred ninety-one thousand, one hundred sixty-eight".