Base | Representation |
---|---|
bin | 11011000010011100… |
… | …100011100011100000 |
3 | 2202221021221221010120 |
4 | 123002130203203200 |
5 | 433424202204334 |
6 | 21200454000240 |
7 | 2045304342405 |
oct | 330234434340 |
9 | 82837857116 |
10 | 29032069344 |
11 | 11348934443 |
12 | 5762946080 |
13 | 29789a5a75 |
14 | 1595a882ac |
15 | b4db7e949 |
hex | 6c27238e0 |
29032069344 has 96 divisors (see below), whose sum is σ = 77210703360. Its totient is φ = 9550436352.
The previous prime is 29032069337. The next prime is 29032069387. The reversal of 29032069344 is 44396023092.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×290320693442 (a number of 22 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 29032069296 and 29032069305.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11863129 + ... + 11865575.
It is an arithmetic number, because the mean of its divisors is an integer number (804278160).
Almost surely, 229032069344 is an apocalyptic number.
29032069344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 29032069344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38605351680).
29032069344 is an abundant number, since it is smaller than the sum of its proper divisors (48178634016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29032069344 is a wasteful number, since it uses less digits than its factorization.
29032069344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4032 (or 4024 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 42.
The spelling of 29032069344 in words is "twenty-nine billion, thirty-two million, sixty-nine thousand, three hundred forty-four".
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