Search a number
-
+
9945275076 = 223211215112
BaseRepresentation
bin10010100001100100…
…01101101011000100
3221200002210022122100
421100302031223010
5130331442300301
64322505432100
7501311305032
oct112062155304
927602708570
109945275076
114243937400
121b1679b630
13c26569569
146a4b99552
153d319d286
hex250c8dac4

9945275076 has 81 divisors (see below), whose sum is σ = 27650913199. Its totient is φ = 3011725200.

The previous prime is 9945275069. The next prime is 9945275173. The reversal of 9945275076 is 6705725499.

The square root of 9945275076 is 99726.

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

9945275076 is a `hidden beast` number, since 99 + 45 + 2 + 7 + 507 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6581161 + ... + 6582671.

Almost surely, 29945275076 is an apocalyptic number.

9945275076 is the 99726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9945275076

9945275076 is an abundant number, since it is smaller than the sum of its proper divisors (17705638123).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9945275076 is a wasteful number, since it uses less digits than its factorization.

9945275076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The cubic root of 9945275076 is about 2150.4974566245.

The spelling of 9945275076 in words is "nine billion, nine hundred forty-five million, two hundred seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1511 2178 3022 4356 4533 6044 9066 13599 16621 18132 27198 33242 49863 54396 66484 99726 149589 182831 199452 299178 365662 548493 598356 731324 1096986 1645479 2193972 2283121 3290958 4566242 6581916 6849363 9132484 13698726 20548089 25114331 27397452 41096178 50228662 75342993 82192356 100457324 150685986 226028979 276257641 301371972 452057958 552515282 828772923 904115916 1105030564 1657545846 2486318769 3315091692 4972637538 9945275076