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1993418332425 = 3252133121984211
BaseRepresentation
bin11101000000100000111…
…111011101100100001001
321001120100202021111101100
4131000200333131210021
5230130010043114200
64123432545012013
7264006523152612
oct35004077354411
97046322244340
101993418332425
116a94497535a3
12282407924009
13115c94b1b110
146c6a670ac09
1536cc0298d00
hex1d020fdd909

1993418332425 has 72 divisors (see below), whose sum is σ = 3969117571328. Its totient is φ = 949717872000.

The previous prime is 1993418332421. The next prime is 1993418332447. The reversal of 1993418332425 is 5242338143991.

It is a happy number.

1993418332425 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 4 + 183 + 32 + 425 = 666.

It is not a de Polignac number, because 1993418332425 - 22 = 1993418332421 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1993418332421) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10901431 + ... + 11082780.

Almost surely, 21993418332425 is an apocalyptic number.

1993418332425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1993418332425 is a deficient number, since it is larger than the sum of its proper divisors (1975699238903).

1993418332425 is a wasteful number, since it uses less digits than its factorization.

1993418332425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21984271 (or 21984263 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1993418332425 in words is "one trillion, nine hundred ninety-three billion, four hundred eighteen million, three hundred thirty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 31 39 45 65 75 93 117 155 195 225 279 325 403 465 585 775 975 1209 1395 2015 2325 2925 3627 6045 6975 10075 18135 30225 90675 21984211 65952633 109921055 197857899 285794743 329763165 549605275 681510541 857384229 989289495 1428973715 1648815825 2044531623 2572152687 3407552705 4286921145 4946447475 6133594869 7144868575 8859637033 10222658115 12860763435 17037763525 21434605725 26578911099 30667974345 44298185165 51113290575 64303817175 79736733297 132894555495 153339871725 221490925825 398683666485 664472777475 1993418332425