| Base | Representation |
|---|---|
| bin | 11011001001011000… |
| … | …100010100000000000 |
| 3 | 2210020101222000221000 |
| 4 | 123021120202200000 |
| 5 | 434144001110320 |
| 6 | 21220212332000 |
| 7 | 2051216540040 |
| oct | 331130424000 |
| 9 | 83211860830 |
| 10 | 29148456960 |
| 11 | 113a85a9157 |
| 12 | 5795914000 |
| 13 | 2996b3668c |
| 14 | 15a7303720 |
| 15 | b58ebec90 |
| hex | 6c9622800 |
29148456960 has 384 divisors, whose sum is σ = 118423468800. Its totient is φ = 6662062080.
The previous prime is 29148456941. The next prime is 29148456979. The reversal of 29148456960 is 6965484192.
29148456960 is a `hidden beast` number, since 2 + 9 + 14 + 8 + 4 + 569 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (29148456941) and next prime (29148456979).
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 29148456897 and 29148456906.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1927830 + ... + 1942890.
It is an arithmetic number, because the mean of its divisors is an integer number (308394450).
Almost surely, 229148456960 is an apocalyptic number.
29148456960 is a gapful number since it is divisible by the number (20) 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 29148456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59211734400).
29148456960 is an abundant number, since it is smaller than the sum of its proper divisors (89275011840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29148456960 is a wasteful number, since it uses less digits than its factorization.
29148456960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15104 (or 15078 counting only the distinct ones).
The product of its (nonzero) digits is 3732480, while the sum is 54.
The spelling of 29148456960 in words is "twenty-nine billion, one hundred forty-eight million, four hundred fifty-six thousand, nine hundred sixty".
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