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2968406811 = 337313710993
BaseRepresentation
bin1011000011101110…
…0100101100011011
321122212120200122000
42300323210230123
522034403004221
61210315132043
7133363020156
oct26073445433
97585520560
102968406811
111293651a77
126aa144023
13383ca2346
14202340c9d
15125902e26
hexb0ee4b1b

2968406811 has 32 divisors (see below), whose sum is σ = 4490829120. Its totient is φ = 1937405952.

The previous prime is 2968406801. The next prime is 2968406843. The reversal of 2968406811 is 1186048692.

It is not a de Polignac number, because 2968406811 - 211 = 2968404763 is a prime.

It is a super-2 number, since 2×29684068112 = 17622877991182379442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2968406801) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 264531 + ... + 275523.

It is an arithmetic number, because the mean of its divisors is an integer number (140338410).

Almost surely, 22968406811 is an apocalyptic number.

2968406811 is a deficient number, since it is larger than the sum of its proper divisors (1522422309).

2968406811 is a wasteful number, since it uses less digits than its factorization.

2968406811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2968406811 is about 54483.0873849858. The cubic root of 2968406811 is about 1437.1688863181.

The spelling of 2968406811 in words is "two billion, nine hundred sixty-eight million, four hundred six thousand, eight hundred eleven".

Divisors: 1 3 9 27 73 137 219 411 657 1233 1971 3699 10001 10993 30003 32979 90009 98937 270027 296811 802489 1506041 2407467 4518123 7222401 13554369 21667203 40663107 109940993 329822979 989468937 2968406811