| Base | Representation |
|---|---|
| bin | 10100001001001100… |
| … | …110101100000000000 |
| 3 | 2001211101011000102000 |
| 4 | 110021030311200000 |
| 5 | 323244033240123 |
| 6 | 13534124424000 |
| 7 | 1363664064210 |
| oct | 241114654000 |
| 9 | 61741130360 |
| 10 | 21629196288 |
| 11 | 919a132337 |
| 12 | 42376a8000 |
| 13 | 20690938cb |
| 14 | 109281a240 |
| 15 | 868cd5b43 |
| hex | 509335800 |
21629196288 has 768 divisors, whose sum is σ = 82083456000. Its totient is φ = 5478285312.
The previous prime is 21629196287. The next prime is 21629196473. The reversal of 21629196288 is 88269192612.
It is a happy number.
21629196288 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 9 + 1 + 9 + 628 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21629196287) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 125024170 + ... + 125024342.
It is an arithmetic number, because the mean of its divisors is an integer number (106879500).
Almost surely, 221629196288 is an apocalyptic number.
21629196288 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 21629196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041728000).
21629196288 is an abundant number, since it is smaller than the sum of its proper divisors (60454259712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21629196288 is a wasteful number, since it uses less digits than its factorization.
21629196288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 247 (or 221 counting only the distinct ones).
The product of its digits is 1492992, while the sum is 54.
The spelling of 21629196288 in words is "twenty-one billion, six hundred twenty-nine million, one hundred ninety-six thousand, two hundred eighty-eight".
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