| Base | Representation |
|---|---|
| bin | 10010110001001010… |
| … | …111000011000100000 |
| 3 | 1221000110002100012200 |
| 4 | 102301022320120200 |
| 5 | 312232441220200 |
| 6 | 13131405253200 |
| 7 | 1312251425400 |
| oct | 226112703040 |
| 9 | 57013070180 |
| 10 | 20152288800 |
| 11 | 8601494936 |
| 12 | 3aa4b64200 |
| 13 | 1b920c8557 |
| 14 | d92608800 |
| 15 | 7ce2ed800 |
| hex | 4b12b8620 |
20152288800 has 486 divisors, whose sum is σ = 83011290453. Its totient is φ = 4586964480.
The previous prime is 20152288789. The next prime is 20152288811. The reversal of 20152288800 is 888225102.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (20152288789) and next prime (20152288811).
It can be written as a sum of positive squares in 2 ways, for example, as 19749243024 + 403045776 = 140532^2 + 20076^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=100380.
It is a super-2 number, since 2×201522888002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84319081 + ... + 84319319.
Almost surely, 220152288800 is an apocalyptic number.
20152288800 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 20152288800
20152288800 is an abundant number, since it is smaller than the sum of its proper divisors (62859001653).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20152288800 is a wasteful number, since it uses less digits than its factorization.
20152288800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 518 (or 256 counting only the distinct ones).
The product of its (nonzero) digits is 20480, while the sum is 36.
The spelling of 20152288800 in words is "twenty billion, one hundred fifty-two million, two hundred eighty-eight thousand, eight hundred".
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