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993318855921 = 32747405182811
BaseRepresentation
bin11100111010001100110…
…10101110010011110001
310111221221002200010210100
432131012122232103301
5112233304111342141
62040154022223013
7131523236651610
oct16350632562361
93457832603710
10993318855921
1135329a664517
12140618584a69
1372892063152
1436110dab877
151ac89e330b6
hexe7466ae4f1

993318855921 has 48 divisors (see below), whose sum is σ = 1675086686208. Its totient is φ = 555390108000.

The previous prime is 993318855917. The next prime is 993318855937. The reversal of 993318855921 is 129558813399.

993318855921 is a `hidden beast` number, since 9 + 9 + 3 + 31 + 8 + 8 + 5 + 592 + 1 = 666.

It is not a de Polignac number, because 993318855921 - 22 = 993318855917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (993318853921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11953606 + ... + 12036416.

It is an arithmetic number, because the mean of its divisors is an integer number (34897639296).

Almost surely, 2993318855921 is an apocalyptic number.

It is an amenable number.

993318855921 is a deficient number, since it is larger than the sum of its proper divisors (681767830287).

993318855921 is a wasteful number, since it uses less digits than its factorization.

993318855921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86922 (or 86919 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The spelling of 993318855921 in words is "nine hundred ninety-three billion, three hundred eighteen million, eight hundred fifty-five thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 21 47 63 141 329 423 987 2961 4051 12153 28357 36459 82811 85071 190397 248433 255213 571191 579677 745299 1332779 1713573 1739031 3892117 3998337 5217093 11676351 11995011 27244819 35029053 81734457 245203371 335467361 1006402083 2348271527 3019206249 7044814581 15766965967 21134443743 47300897901 110368761769 141902693703 331106285307 993318855921