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2992011141 = 37835633049
BaseRepresentation
bin1011001001010110…
…0111011110000101
321201111222220200110
42302111213132011
522111423324031
61212521103233
7134100450360
oct26225473605
97644886613
102992011141
1112a5a04289
126b6027b19
13388b481c2
142055270d7
15127a16c46
hexb2567785

2992011141 has 32 divisors (see below), whose sum is σ = 4623897600. Its totient is φ = 1685568384.

The previous prime is 2992011109. The next prime is 2992011151. The reversal of 2992011141 is 1411102992.

It is a happy number.

It is not a de Polignac number, because 2992011141 - 25 = 2992011109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2992011099 and 2992011108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992011151) 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, 979785 + ... + 982833.

It is an arithmetic number, because the mean of its divisors is an integer number (144496800).

Almost surely, 22992011141 is an apocalyptic number.

2992011141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2992011141 is a deficient number, since it is larger than the sum of its proper divisors (1631886459).

2992011141 is a wasteful number, since it uses less digits than its factorization.

2992011141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 2992011141 is about 54699.2791634405. The cubic root of 2992011141 is about 1440.9682179664.

The spelling of 2992011141 in words is "two billion, nine hundred ninety-two million, eleven thousand, one hundred forty-one".

Divisors: 1 3 7 21 83 249 563 581 1689 1743 3049 3941 9147 11823 21343 46729 64029 140187 253067 327103 759201 981309 1716587 1771469 5149761 5314407 12016109 36048327 142476721 427430163 997337047 2992011141