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2006811963 = 331321273463
BaseRepresentation
bin111011110011101…
…1000010100111011
312011212011121111000
41313213120110323
513102220440323
6531044540043
7100505422512
oct16747302473
95155147430
102006811963
1193a87a592
124800b1623
1325c9c0b00
1415074d679
15bb2aae43
hex779d853b

2006811963 has 48 divisors (see below), whose sum is σ = 3245629440. Its totient is φ = 1224883296.

The previous prime is 2006811949. The next prime is 2006811973. The reversal of 2006811963 is 3691186002.

It is not a de Polignac number, because 2006811963 - 214 = 2006795579 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006811923) 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 47 ways as a sum of consecutive naturals, for example, 577770 + ... + 581232.

It is an arithmetic number, because the mean of its divisors is an integer number (67617280).

Almost surely, 22006811963 is an apocalyptic number.

2006811963 is a deficient number, since it is larger than the sum of its proper divisors (1238817477).

2006811963 is a wasteful number, since it uses less digits than its factorization.

2006811963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2006811963 is about 44797.4548719009. The cubic root of 2006811963 is about 1261.3498515590.

Adding to 2006811963 its reverse (3691186002), we get a palindrome (5697997965).

The spelling of 2006811963 in words is "two billion, six million, eight hundred eleven thousand, nine hundred sixty-three".

Divisors: 1 3 9 13 27 39 117 127 169 351 381 507 1143 1521 1651 3429 3463 4563 4953 10389 14859 21463 31167 44577 45019 64389 93501 135057 193167 405171 439801 579501 585247 1215513 1319403 1755741 3958209 5267223 5717413 11874627 15801669 17152239 51456717 74326369 154370151 222979107 668937321 2006811963