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11729402829 = 331964735339
BaseRepresentation
bin10101110110010000…
…00111101111001101
31010021102221101211000
422323020013233031
5143010211342304
65215521450513
7563444164464
oct127310075715
933242841730
1011729402829
114a79a3aa51
1223341a0a39
13114c08cc61
147d3add9db
15489b1d939
hex2bb207bcd

11729402829 has 32 divisors (see below), whose sum is σ = 18320256000. Its totient is φ = 7396384752.

The previous prime is 11729402821. The next prime is 11729402833. The reversal of 11729402829 is 92820492711.

It is not a de Polignac number, because 11729402829 - 23 = 11729402821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11729402821) 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 31 ways as a sum of consecutive naturals, for example, 314242 + ... + 349580.

It is an arithmetic number, because the mean of its divisors is an integer number (572508000).

Almost surely, 211729402829 is an apocalyptic number.

11729402829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11729402829 is a deficient number, since it is larger than the sum of its proper divisors (6590853171).

11729402829 is a wasteful number, since it uses less digits than its factorization.

11729402829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36014 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

It can be divided in two parts, 117 and 29402829, that added together give a triangular number (29402946 = T7668).

The spelling of 11729402829 in words is "eleven billion, seven hundred twenty-nine million, four hundred two thousand, eight hundred twenty-nine".

Divisors: 1 3 9 19 27 57 171 513 647 1941 5823 12293 17469 35339 36879 106017 110637 318051 331911 671441 954153 2014323 6042969 18128907 22864333 68592999 205778997 434422327 617336991 1303266981 3909800943 11729402829