| Base | Representation |
|---|---|
| bin | 11011000110111001… |
| … | …011111000101000000 |
| 3 | 2210010111111201021000 |
| 4 | 123012321133011000 |
| 5 | 434102312341143 |
| 6 | 21212122532000 |
| 7 | 2050202252400 |
| oct | 330671370500 |
| 9 | 83114451230 |
| 10 | 29106762048 |
| 11 | 11387010151 |
| 12 | 5783967000 |
| 13 | 298b2c8530 |
| 14 | 15a196c800 |
| 15 | b554d5bd3 |
| hex | 6c6e5f140 |
29106762048 has 672 divisors, whose sum is σ = 110783339520. Its totient is φ = 7420170240.
The previous prime is 29106762043. The next prime is 29106762053. The reversal of 29106762048 is 84026760192.
It is a happy number.
29106762048 is a `hidden beast` number, since 2 + 9 + 10 + 6 + 7 + 620 + 4 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (29106762043) and next prime (29106762053).
It is a tau number, because it is divible by the number of its divisors (672).
It is a junction number, because it is equal to n+sod(n) for n = 29106761994 and 29106762012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (29106762043) 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 95 ways as a sum of consecutive naturals, for example, 34122390 + ... + 34123242.
It is an arithmetic number, because the mean of its divisors is an integer number (164856160).
Almost surely, 229106762048 is an apocalyptic number.
29106762048 is a gapful number since it is divisible by the number (28) 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 29106762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55391669760).
29106762048 is an abundant number, since it is smaller than the sum of its proper divisors (81676577472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29106762048 is a wasteful number, since it uses less digits than its factorization.
29106762048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 932 (or 909 counting only the distinct ones).
The product of its (nonzero) digits is 290304, while the sum is 45.
The spelling of 29106762048 in words is "twenty-nine billion, one hundred six million, seven hundred sixty-two thousand, forty-eight".
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