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106756052829 = 3294328536769
BaseRepresentation
bin110001101101100101…
…0000001011101011101
3101012120000100101102120
41203123022001131131
53222114022142304
6121013144413153
710466341322346
oct1433312013535
9335500311376
10106756052829
1141303010638
12188344771b9
13a0b441203a
14524a4390cd
152b9c4180d9
hex18db28175d

106756052829 has 16 divisors (see below), whose sum is σ = 150674145600. Its totient is φ = 67118478336.

The previous prime is 106756052803. The next prime is 106756052849. The reversal of 106756052829 is 928250657601.

It is not a de Polignac number, because 106756052829 - 27 = 106756052701 is a prime.

It is a super-2 number, since 2×1067560528292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106756052849) 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 15 ways as a sum of consecutive naturals, for example, 14264644 + ... + 14272125.

It is an arithmetic number, because the mean of its divisors is an integer number (9417134100).

Almost surely, 2106756052829 is an apocalyptic number.

It is an amenable number.

106756052829 is a deficient number, since it is larger than the sum of its proper divisors (43918092771).

106756052829 is a wasteful number, since it uses less digits than its factorization.

106756052829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28536844.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 106756052829 in words is "one hundred six billion, seven hundred fifty-six million, fifty-two thousand, eight hundred twenty-nine".

Divisors: 1 3 29 43 87 129 1247 3741 28536769 85610307 827566301 1227081067 2482698903 3681243201 35585350943 106756052829