| Base | Representation |
|---|---|
| bin | 10000000110110111001110… |
| … | …10010000010111100100000 |
| 3 | 11122102010200021201110120000 |
| 4 | 20003123213102002330200 |
| 5 | 14120311012212342433 |
| 6 | 203155450100020000 |
| 7 | 10314011044263660 |
| oct | 1003334722027440 |
| 9 | 148363607643500 |
| 10 | 35420180590368 |
| 11 | 103166835a5172 |
| 12 | 3b80802991600 |
| 13 | 169c154a68c82 |
| 14 | 8a64bb18a1a0 |
| 15 | 416560933113 |
| hex | 2036e7482f20 |
35420180590368 has 480 divisors, whose sum is σ = 125534905372800. Its totient is φ = 9570747580416.
The previous prime is 35420180590363. The next prime is 35420180590369. The reversal of 35420180590368 is 86309508102453.
35420180590368 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 0 + 18 + 0 + 590 + 36 + 8 = 666.
It is a super-3 number, since 3×354201805903683 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (35420180590363) 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 79 ways as a sum of consecutive naturals, for example, 198823638 + ... + 199001706.
It is an arithmetic number, because the mean of its divisors is an integer number (261531052860).
Almost surely, 235420180590368 is an apocalyptic number.
35420180590368 is a gapful number since it is divisible by the number (38) 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 35420180590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62767452686400).
35420180590368 is an abundant number, since it is smaller than the sum of its proper divisors (90114724782432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35420180590368 is a wasteful number, since it uses less digits than its factorization.
35420180590368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178694 (or 178677 counting only the distinct ones).
The product of its (nonzero) digits is 6220800, while the sum is 54.
The spelling of 35420180590368 in words is "thirty-five trillion, four hundred twenty billion, one hundred eighty million, five hundred ninety thousand, three hundred sixty-eight".
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