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1083986442240 = 2113513316061
BaseRepresentation
bin11111100011000101010…
…00000111100000000000
310211121221212201202011220
433301202220013200000
5120230001012122430
62145550531235040
7141213123506142
oct17614250074000
93747855652156
101083986442240
113887970a6039
12156100a48a80
137b2b1286000
143a672806c92
151d2e4bcd110
hexfc62a07800

1083986442240 has 384 divisors, whose sum is σ = 3757004596800. Its totient is φ = 266810818560.

The previous prime is 1083986442223. The next prime is 1083986442257. The reversal of 1083986442240 is 422446893801.

It is an interprime number because it is at equal distance from previous prime (1083986442223) and next prime (1083986442257).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67483810 + ... + 67499870.

Almost surely, 21083986442240 is an apocalyptic number.

1083986442240 is a gapful number since it is divisible by the number (10) 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 1083986442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878502298400).

1083986442240 is an abundant number, since it is smaller than the sum of its proper divisors (2673018154560).

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

1083986442240 is an equidigital number, since it uses as much as digits as its factorization.

1083986442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16130 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 1083986442240 in words is "one trillion, eighty-three billion, nine hundred eighty-six million, four hundred forty-two thousand, two hundred forty".