| Base | Representation |
|---|---|
| bin | 10011100001011000011110… |
| … | …01010000000000000000000 |
| 3 | 12121222220211122202210012000 |
| 4 | 21300230033022000000000 |
| 5 | 21111314432303400300 |
| 6 | 231145020410304000 |
| 7 | 12020323032545130 |
| oct | 1160541712000000 |
| 9 | 177886748683160 |
| 10 | 42928452403200 |
| 11 | 1275094426a361 |
| 12 | 49939a3a28000 |
| 13 | 1ac519c164470 |
| 14 | a85a69026ac0 |
| 15 | 4e6a03052c00 |
| hex | 270b0f280000 |
42928452403200 has 3840 divisors, whose sum is σ = 205041543168000. Its totient is φ = 8561413324800.
The previous prime is 42928452403181. The next prime is 42928452403219. The reversal of 42928452403200 is 230425482924.
42928452403200 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 84 + 5 + 240 + 320 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (42928452403181) and next prime (42928452403219).
It is a tau number, because it is divible by the number of its divisors (3840).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 191 ways as a sum of consecutive naturals, for example, 998336102379 + ... + 998336102421.
It is an arithmetic number, because the mean of its divisors is an integer number (53396235200).
Almost surely, 242928452403200 is an apocalyptic number.
42928452403200 is a gapful number since it is divisible by the number (40) 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 42928452403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102520771584000).
42928452403200 is an abundant number, since it is smaller than the sum of its proper divisors (162113090764800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42928452403200 is an equidigital number, since it uses as much as digits as its factorization.
42928452403200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 45.
The spelling of 42928452403200 in words is "forty-two trillion, nine hundred twenty-eight billion, four hundred fifty-two million, four hundred three thousand, two hundred".
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