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2068106319 = 321929795279
BaseRepresentation
bin111101101000100…
…1100110001001111
312100010111200112100
41323101030301033
513213413400234
6541114410143
7102151420326
oct17321146117
95303450470
102068106319
11971434984
12498730953
1326c601c66
141589470bd
15c1867399
hex7b44cc4f

2068106319 has 48 divisors (see below), whose sum is σ = 3294720000. Its totient is φ = 1244932416.

The previous prime is 2068106311. The next prime is 2068106399. The reversal of 2068106319 is 9136018602.

2068106319 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 10 + 631 + 9 = 666.

It is not a de Polignac number, because 2068106319 - 23 = 2068106311 is a prime.

It is a super-2 number, since 2×20681063192 = 8554127493375459522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068106311) 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 47 ways as a sum of consecutive naturals, for example, 389122 + ... + 394400.

It is an arithmetic number, because the mean of its divisors is an integer number (68640000).

Almost surely, 22068106319 is an apocalyptic number.

2068106319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2068106319 is a deficient number, since it is larger than the sum of its proper divisors (1226613681).

2068106319 is a wasteful number, since it uses less digits than its factorization.

2068106319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5409 counting only the distinct ones).

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

The square root of 2068106319 is about 45476.4369646524. The cubic root of 2068106319 is about 1274.0631475378.

The spelling of 2068106319 in words is "two billion, sixty-eight million, one hundred six thousand, three hundred nineteen".

Divisors: 1 3 9 19 29 57 79 87 171 237 261 551 711 1501 1653 2291 4503 4959 5279 6873 13509 15837 20619 43529 47511 100301 130587 153091 300903 391761 417041 459273 902709 1251123 1377819 2908729 3753369 7923779 8726187 12094189 23771337 26178561 36282567 71314011 108847701 229789591 689368773 2068106319