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3005116261 = 76117939317
BaseRepresentation
bin1011001100011110…
…0110111101100101
321202102122201112021
42303013212331211
522123302210021
61214110023141
7134320031620
oct26307467545
97672581467
103005116261
111302345364
126ba4a7ab1
1338b786204
14207178db7
15128c54c41
hexb31e6f65

3005116261 has 16 divisors (see below), whose sum is σ = 3510311040. Its totient is φ = 2519369280.

The previous prime is 3005116259. The next prime is 3005116273. The reversal of 3005116261 is 1626115003.

It is a cyclic number.

It is not a de Polignac number, because 3005116261 - 21 = 3005116259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005116201) 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 15 ways as a sum of consecutive naturals, for example, 56775 + ... + 96091.

It is an arithmetic number, because the mean of its divisors is an integer number (219394440).

Almost surely, 23005116261 is an apocalyptic number.

It is an amenable number.

3005116261 is a deficient number, since it is larger than the sum of its proper divisors (505194779).

3005116261 is a wasteful number, since it uses less digits than its factorization.

3005116261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39564.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 3005116261 is about 54818.9407139540. The cubic root of 3005116261 is about 1443.0689852491.

The spelling of 3005116261 in words is "three billion, five million, one hundred sixteen thousand, two hundred sixty-one".

Divisors: 1 7 61 179 427 1253 10919 39317 76433 275219 2398337 7037743 16788359 49264201 429302323 3005116261