| Base | Representation |
|---|---|
| bin | 1101010110110111011011… |
| … | …00101111010100100000000 |
| 3 | 10212000000202221211221000000 |
| 4 | 12223123231211322210000 |
| 5 | 12322221321430300230 |
| 6 | 142245431324000000 |
| 7 | 6121061432560500 |
| oct | 653335545724400 |
| 9 | 125000687757000 |
| 10 | 29372972509440 |
| 11 | 93a500a2588aa |
| 12 | 3364819090000 |
| 13 | 1350b231c74a1 |
| 14 | 737933789a00 |
| 15 | 35e0d2295b60 |
| hex | 1ab6ed97a900 |
29372972509440 has 6048 divisors, whose sum is σ = 142591833409536. Its totient is φ = 5738822369280.
The previous prime is 29372972509411. The next prime is 29372972509451. The reversal of 29372972509440 is 4490527927392.
29372972509440 is a `hidden beast` number, since 2 + 9 + 3 + 7 + 297 + 250 + 94 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6048).
It is a super-2 number, since 2×293729725094402 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 554207028454 + ... + 554207028506.
It is an arithmetic number, because the mean of its divisors is an integer number (23576692032).
Almost surely, 229372972509440 is an apocalyptic number.
29372972509440 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 29372972509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71295916704768).
29372972509440 is an abundant number, since it is smaller than the sum of its proper divisors (113218860900096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
29372972509440 is a wasteful number, since it uses less digits than its factorization.
29372972509440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 177 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 68584320, while the sum is 63.
The spelling of 29372972509440 in words is "twenty-nine trillion, three hundred seventy-two billion, nine hundred seventy-two million, five hundred nine thousand, four hundred forty".
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