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19905431325 = 35213172411723
BaseRepresentation
bin10010100010011101…
…001100011100011101
31220101020120200102020
4102202131030130131
5311231242300300
613051110250353
71303163242323
oct224235143435
956336520366
1019905431325
11849510819a
123a363569b9
131b52c16340
14d6b909d13
157b77da8a0
hex4a274c71d

19905431325 has 144 divisors (see below), whose sum is σ = 38589988416. Its totient is φ = 8992972800.

The previous prime is 19905431323. The next prime is 19905431327. The reversal of 19905431325 is 52313450991.

It is an interprime number because it is at equal distance from previous prime (19905431323) and next prime (19905431327).

It is not a de Polignac number, because 19905431325 - 21 = 19905431323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19905431323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11551914 + ... + 11553636.

Almost surely, 219905431325 is an apocalyptic number.

19905431325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19905431325 is a deficient number, since it is larger than the sum of its proper divisors (18684557091).

19905431325 is a wasteful number, since it uses less digits than its factorization.

19905431325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 19905431325 in words is "nineteen billion, nine hundred five million, four hundred thirty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 41 51 65 75 85 123 195 205 221 255 289 325 425 533 615 663 697 867 975 1025 1105 1275 1445 1599 1723 2091 2665 3075 3315 3485 3757 4335 5169 5525 7225 7995 8615 9061 10455 11271 11849 13325 16575 17425 18785 21675 22399 25845 27183 29291 35547 39975 43075 45305 52275 56355 59245 67197 70643 87873 93925 111995 129225 135915 146455 154037 177735 211929 226525 281775 296225 335985 353215 380783 439365 462111 497947 559975 679575 732275 770185 888675 918359 1059645 1142349 1200931 1493841 1679925 1766075 1903915 2196825 2310555 2489735 2755077 3602793 3850925 4591795 5298225 5711745 6004655 6473311 7469205 9519575 11552775 12448675 13775385 15612103 18013965 19419933 20415827 22958975 28558725 30023275 32366555 37346025 46836309 61247481 68876925 78060515 90069825 97099665 102079135 161832775 234181545 265405751 306237405 390302575 485498325 510395675 796217253 1170907725 1327028755 1531187025 3981086265 6635143775 19905431325