| Base | Representation |
|---|---|
| bin | 1011101111110111000… |
| … | …0001001001100100010 |
| 3 | 201021221120202111012000 |
| 4 | 2323331300021030202 |
| 5 | 11301314343024332 |
| 6 | 232414550144430 |
| 7 | 20403300404451 |
| oct | 2737560111442 |
| 9 | 637846674160 |
| 10 | 201825751842 |
| 11 | 78659414620 |
| 12 | 33147052116 |
| 13 | 16055657700 |
| 14 | 9aa877cb98 |
| 15 | 53b38b7b7c |
| hex | 2efdc09322 |
201825751842 has 192 divisors, whose sum is σ = 532521216000. Its totient is φ = 56165503680.
The previous prime is 201825751837. The next prime is 201825751849. The reversal of 201825751842 is 248157528102.
201825751842 is a `hidden beast` number, since 2 + 0 + 1 + 82 + 57 + 518 + 4 + 2 = 666.
201825751842 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (201825751849) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19971763 + ... + 19981865.
It is an arithmetic number, because the mean of its divisors is an integer number (2773548000).
Almost surely, 2201825751842 is an apocalyptic number.
201825751842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 201825751842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266260608000).
201825751842 is an abundant number, since it is smaller than the sum of its proper divisors (330695464158).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201825751842 is a wasteful number, since it uses less digits than its factorization.
201825751842 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10350 (or 10331 counting only the distinct ones).
The product of its (nonzero) digits is 358400, while the sum is 45.
The spelling of 201825751842 in words is "two hundred one billion, eight hundred twenty-five million, seven hundred fifty-one thousand, eight hundred forty-two".
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