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9407875335076 = 2237218122292
BaseRepresentation
bin1000100011100111000100…
…0100010100001110100100
31020022101101000012200010001
42020321301010110032210
52213114312041210301
632001530202311044
71660460630625661
oct210716104241644
936271330180101
109407875335076
112aa7948400309
12107b3864b8484
1353320ac72aca
142474b4b80a68
15114ac1697c01
hex88e711143a4

9407875335076 has 81 divisors (see below), whose sum is σ = 17089401276297. Its totient is φ = 4531642381440.

The previous prime is 9407875335043. The next prime is 9407875335169. The reversal of 9407875335076 is 6705335787049.

The square root of 9407875335076 is 3067226.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2085569222500 + 7322306112576 = 1444150^2 + 2705976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9407875334999 and 9407875335017.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 41082424930 + ... + 41082425158.

Almost surely, 29407875335076 is an apocalyptic number.

9407875335076 is the 3067226-th square number.

It is an amenable number.

9407875335076 is a deficient number, since it is larger than the sum of its proper divisors (7681525941221).

9407875335076 is an equidigital number, since it uses as much as digits as its factorization.

9407875335076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 64.

Multiplying 9407875335076 by its sum of digits (64), we get a square (602104021444864 = 245378082).

The spelling of 9407875335076 in words is "nine trillion, four hundred seven billion, eight hundred seventy-five million, three hundred thirty-five thousand, seventy-six".

Divisors: 1 2 4 37 74 148 181 229 362 458 724 916 1369 2738 5476 6697 8473 13394 16946 26788 32761 33892 41449 52441 65522 82898 104882 131044 165796 209764 247789 313501 495578 627002 991156 1212157 1254004 1533613 1940317 2424314 3067226 3880634 4848628 6134452 7502269 7761268 9491821 15004538 18983642 30009076 37967284 44849809 56743681 71791729 89699618 113487362 143583458 179399236 226974724 277583953 287166916 351197377 555167906 702394754 1110335812 1404789508 1718019601 3436039202 6872078404 10270606261 12994302949 20541212522 25988605898 41082425044 51977211796 63566725237 127133450474 254266900948 2351968833769 4703937667538 9407875335076