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2009968479 = 334315711027
BaseRepresentation
bin111011111001101…
…1010111101011111
312012002002222102000
41313303122331133
513104022442404
6531240333343
7100544310261
oct16763327537
95162088360
102009968479
11941636082
12481174253
1326055777c
14150d31b31
15bb6d1339
hex77cdaf5f

2009968479 has 32 divisors (see below), whose sum is σ = 3066666240. Its totient is φ = 1300362336.

The previous prime is 2009968469. The next prime is 2009968547. The reversal of 2009968479 is 9748699002.

2009968479 is a `hidden beast` number, since 20 + 0 + 99 + 68 + 479 = 666.

It is not a de Polignac number, because 2009968479 - 217 = 2009837407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009968469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176764 + ... + 187790.

It is an arithmetic number, because the mean of its divisors is an integer number (95833320).

Almost surely, 22009968479 is an apocalyptic number.

2009968479 is a deficient number, since it is larger than the sum of its proper divisors (1056697761).

2009968479 is a wasteful number, since it uses less digits than its factorization.

2009968479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11236 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 2009968479 is about 44832.6720037965. The cubic root of 2009968479 is about 1262.0108311621.

The spelling of 2009968479 in words is "two billion, nine million, nine hundred sixty-eight thousand, four hundred seventy-nine".

Divisors: 1 3 9 27 43 129 157 387 471 1161 1413 4239 6751 11027 20253 33081 60759 99243 182277 297729 474161 1422483 1731239 4267449 5193717 12802347 15581151 46743453 74443277 223329831 669989493 2009968479