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11729684694 = 237131929127307
BaseRepresentation
bin10101110110010010…
…01100100011010110
31010021110110201110110
422323021030203112
5143010244402234
65215531503450
7563446450320
oct127311144326
933243421413
1011729684694
114a7a1127a2
1223342b7b86
13114c15b340
147d3b74610
15489b771e9
hex2bb24c8d6

11729684694 has 256 divisors, whose sum is σ = 31791513600. Its totient is φ = 2798240256.

The previous prime is 11729684683. The next prime is 11729684761. The reversal of 11729684694 is 49648692711.

11729684694 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 38207289 + ... + 38207595.

It is an arithmetic number, because the mean of its divisors is an integer number (124185600).

Almost surely, 211729684694 is an apocalyptic number.

11729684694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11729684694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15895756800).

11729684694 is an abundant number, since it is smaller than the sum of its proper divisors (20061828906).

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

11729684694 is a wasteful number, since it uses less digits than its factorization.

11729684694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its digits is 5225472, while the sum is 57.

The spelling of 11729684694 in words is "eleven billion, seven hundred twenty-nine million, six hundred eighty-four thousand, six hundred ninety-four".