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1089970237440 = 212325721731229
BaseRepresentation
bin11111101110001110100…
…10011111000000000000
310212012101220022001001100
433313013102133000000
5120324224340044230
62152420404534400
7141514323103200
oct17670722370000
93765356261040
101089970237440
11390287868a27
121572b09b1400
137ba25b99c26
143aa7d3d8400
151d5451b4660
hexfdc749f000

1089970237440 has 1872 divisors, whose sum is σ = 4824548801280. Its totient is φ = 225926184960.

The previous prime is 1089970237399. The next prime is 1089970237453. The reversal of 1089970237440 is 447320799801.

1089970237440 is a `hidden beast` number, since 1 + 0 + 89 + 97 + 0 + 2 + 37 + 440 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4759695246 + ... + 4759695474.

It is an arithmetic number, because the mean of its divisors is an integer number (2577216240).

Almost surely, 21089970237440 is an apocalyptic number.

1089970237440 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 1089970237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412274400640).

1089970237440 is an abundant number, since it is smaller than the sum of its proper divisors (3734578563840).

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

1089970237440 is a wasteful number, since it uses less digits than its factorization.

1089970237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1089970237440 in words is "one trillion, eighty-nine billion, nine hundred seventy million, two hundred thirty-seven thousand, four hundred forty".