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1074432834384 = 243713247402583
BaseRepresentation
bin11111010001010010010…
…11111111101101010000
310210201022001221011221220
433220221023333231100
5120100414301200014
62141330532245040
7140424306256050
oct17505113775520
93721261834856
101074432834384
11384734363058
12154295470780
137a41ac01300
143a007a83560
151ce360e96a9
hexfa292ffb50

1074432834384 has 240 divisors, whose sum is σ = 3508007473152. Its totient is φ = 277337129472.

The previous prime is 1074432834383. The next prime is 1074432834389. The reversal of 1074432834384 is 4834382344701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074432834383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2467557 + ... + 2870139.

Almost surely, 21074432834384 is an apocalyptic number.

1074432834384 is a gapful number since it is divisible by the number (14) 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 1074432834384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754003736576).

1074432834384 is an abundant number, since it is smaller than the sum of its proper divisors (2433574638768).

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

1074432834384 is a wasteful number, since it uses less digits than its factorization.

1074432834384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402674 (or 402655 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 1074432834384 in words is "one trillion, seventy-four billion, four hundred thirty-two million, eight hundred thirty-four thousand, three hundred eighty-four".