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2006111052 = 2232116775611
BaseRepresentation
bin111011110010010…
…1101001101001100
312011210212000000100
41313210231031030
513102031023202
6531021531100
7100466443161
oct16744551514
95153760010
102006111052
1193a440a20
1247ba13a90
1325c806a7a
1415060a068
15bb1bd41c
hex7792d34c

2006111052 has 72 divisors (see below), whose sum is σ = 5614644672. Its totient is φ = 598831200.

The previous prime is 2006111033. The next prime is 2006111059. The reversal of 2006111052 is 2501116002.

2006111052 is a `hidden beast` number, since 2 + 0 + 0 + 611 + 1 + 0 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2006111059) 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 23 ways as a sum of consecutive naturals, for example, 11274 + ... + 64337.

It is an arithmetic number, because the mean of its divisors is an integer number (77981176).

Almost surely, 22006111052 is an apocalyptic number.

2006111052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2006111052 is an abundant number, since it is smaller than the sum of its proper divisors (3608533620).

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

2006111052 is a wasteful number, since it uses less digits than its factorization.

2006111052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75699 (or 75694 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2006111052 is about 44789.6310768463. The cubic root of 2006111052 is about 1261.2029856261.

Adding to 2006111052 its reverse (2501116002), we get a palindrome (4507227054).

It can be divided in two parts, 20061 and 11052, that added together give a palindrome (31113).

The spelling of 2006111052 in words is "two billion, six million, one hundred eleven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 8844 13266 26532 75611 151222 226833 302444 453666 680499 831721 907332 1360998 1663442 2495163 2721996 3326884 4990326 5065937 7485489 9980652 10131874 14970978 15197811 20263748 29941956 30395622 45593433 55725307 60791244 91186866 111450614 167175921 182373732 222901228 334351842 501527763 668703684 1003055526 2006111052