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9879894743040 = 2113357219131293
BaseRepresentation
bin1000111111000101011110…
…0111011101100000000000
31021222111201212000000221000
42033301113213131200000
52243333011023234130
633002432212332000
72036541000453300
oct217612747354000
937874655000830
109879894743040
11316a049017883
121136958914000
1356889320993a
14262291c27600
15121eeaaea260
hex8fc579dd800

9879894743040 has 2304 divisors, whose sum is σ = 43480172736000. Its totient is φ = 2115828449280.

The previous prime is 9879894742999. The next prime is 9879894743053. The reversal of 9879894743040 is 403474989789.

9879894743040 is a `hidden beast` number, since 9 + 8 + 7 + 9 + 89 + 474 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×98798947430402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9879894743040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33719777134 + ... + 33719777426.

It is an arithmetic number, because the mean of its divisors is an integer number (18871602750).

Almost surely, 29879894743040 is an apocalyptic number.

9879894743040 is a gapful number since it is divisible by the number (90) 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 9879894743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740086368000).

9879894743040 is an abundant number, since it is smaller than the sum of its proper divisors (33600277992960).

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

9879894743040 is a wasteful number, since it uses less digits than its factorization.

9879894743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 9879894743040 in words is "nine trillion, eight hundred seventy-nine billion, eight hundred ninety-four million, seven hundred forty-three thousand, forty".