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9042113325 = 3527231139571
BaseRepresentation
bin10000110101111001…
…11011001100101101
3212100011022221122010
420122330323030231
5122004240111300
64053123511433
7440033460300
oct103274731455
925304287563
109042113325
113920045633
121904228579
13b11406a1b
1461ac58b37
1537dc49a50
hex21af3b32d

9042113325 has 144 divisors (see below), whose sum is σ = 18112174080. Its totient is φ = 3964464000.

The previous prime is 9042113321. The next prime is 9042113359. The reversal of 9042113325 is 5233112409.

It is not a de Polignac number, because 9042113325 - 22 = 9042113321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9042113292 and 9042113301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042113321) 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 143 ways as a sum of consecutive naturals, for example, 15835290 + ... + 15835860.

Almost surely, 29042113325 is an apocalyptic number.

It is an amenable number.

9042113325 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9042113325 is a wasteful number, since it uses less digits than its factorization.

9042113325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 9042113325 is about 95090.0274739681. The cubic root of 9042113325 is about 2083.3231921995.

The spelling of 9042113325 in words is "nine billion, forty-two million, one hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 49 75 93 105 139 147 155 175 217 245 417 465 525 571 651 695 735 775 973 1085 1225 1519 1713 2085 2325 2855 2919 3255 3475 3675 3997 4309 4557 4865 5425 6811 7595 8565 10425 11991 12927 14275 14595 16275 17701 19985 20433 21545 22785 24325 27979 30163 34055 37975 42825 53103 59955 64635 72975 79369 83937 88505 90489 99925 102165 107725 113925 123907 139895 150815 170275 211141 238107 265515 299775 323175 371721 396845 419685 442525 452445 510825 555583 619535 633423 699475 754075 867349 1055705 1190535 1327575 1666749 1858605 1984225 2098425 2262225 2460439 2602047 2777915 3097675 3167115 3889081 4336745 5278525 5952675 7381317 8333745 9293025 11667243 12302195 13010235 13889575 15835575 17223073 19445405 21683725 36906585 41668725 51669219 58336215 61510975 65051175 86115365 97227025 120561511 184532925 258346095 291681075 361684533 430576825 602807555 1291730475 1808422665 3014037775 9042113325