| Base | Representation |
|---|---|
| bin | 101101101110000010000001… |
| … | …000010100010100000000000 |
| 3 | 222100221121122010121222200000 |
| 4 | 231232002001002202200000 |
| 5 | 202323404311041343000 |
| 6 | 1551352424202400000 |
| 7 | 60232133500265031 |
| oct | 5556020102424000 |
| 9 | 870847563558600 |
| 10 | 201075353856000 |
| 11 | 59083640256598 |
| 12 | 1a675901200000 |
| 13 | 882742ac36ca0 |
| 14 | 3792155b36a88 |
| 15 | 183a670e69000 |
| hex | b6e0810a2800 |
201075353856000 has 1152 divisors, whose sum is σ = 809429299660800. Its totient is φ = 49495272652800.
The previous prime is 201075353855989. The next prime is 201075353856007. The reversal of 201075353856000 is 658353570102.
201075353856000 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 5 + 3 + 5 + 38 + 5 + 600 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×2010753538560002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (201075353856007) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808579681 + ... + 808828319.
It is an arithmetic number, because the mean of its divisors is an integer number (702629600400).
Almost surely, 2201075353856000 is an apocalyptic number.
201075353856000 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 201075353856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404714649830400).
201075353856000 is an abundant number, since it is smaller than the sum of its proper divisors (608353945804800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201075353856000 is an equidigital number, since it uses as much as digits as its factorization.
201075353856000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 248704 (or 248662 counting only the distinct ones).
The product of its (nonzero) digits is 756000, while the sum is 45.
The spelling of 201075353856000 in words is "two hundred one trillion, seventy-five billion, three hundred fifty-three million, eight hundred fifty-six thousand".
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