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996971985240 = 2335711112995569
BaseRepresentation
bin11101000001000000010…
…10010011100101011000
310112022100200200100010020
432200200022103211120
5112313244312011430
62042000321350440
7132012616023450
oct16404012234530
93468320610106
10996971985240
113548a4770660
12141277a98420
1373024b55b2a
143637a22ad60
151ae009dbb10
hexe820293958

996971985240 has 256 divisors, whose sum is σ = 3732276096000. Its totient is φ = 206977351680.

The previous prime is 996971985221. The next prime is 996971985241. The reversal of 996971985240 is 42589179699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996971985241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10384176 + ... + 10479744.

It is an arithmetic number, because the mean of its divisors is an integer number (14579203500).

Almost surely, 2996971985240 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 996971985240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866138048000).

996971985240 is an abundant number, since it is smaller than the sum of its proper divisors (2735304110760).

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

996971985240 is a wasteful number, since it uses less digits than its factorization.

996971985240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96730 (or 96726 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 69.

The spelling of 996971985240 in words is "nine hundred ninety-six billion, nine hundred seventy-one million, nine hundred eighty-five thousand, two hundred forty".