Base | Representation |
---|---|
bin | 1101101110110111111… |
… | …0110100111111000000 |
3 | 211112221201210200102000 |
4 | 3123231332310333000 |
5 | 12331131222413003 |
6 | 300214111424000 |
7 | 23021224412010 |
oct | 3335576647700 |
9 | 745851720360 |
10 | 235920904128 |
11 | 91065222128 |
12 | 39881525000 |
13 | 1932a278330 |
14 | b5c0a29c40 |
15 | 620bcb01a3 |
hex | 36edfb4fc0 |
235920904128 has 672 divisors, whose sum is σ = 870344939520. Its totient is φ = 61024389120.
The previous prime is 235920904123. The next prime is 235920904151. The reversal of 235920904128 is 821409029532.
235920904128 is a `hidden beast` number, since 23 + 5 + 9 + 209 + 0 + 412 + 8 = 666.
235920904128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-3 number, since 3×2359209041283 (a number of 35 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (235920904123) 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, 547380073 + ... + 547380503.
It is an arithmetic number, because the mean of its divisors is an integer number (1295156160).
Almost surely, 2235920904128 is an apocalyptic number.
235920904128 is a gapful number since it is divisible by the number (28) 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 235920904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435172469760).
235920904128 is an abundant number, since it is smaller than the sum of its proper divisors (634424035392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235920904128 is a wasteful number, since it uses less digits than its factorization.
235920904128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 590 (or 515 counting only the distinct ones).
The product of its (nonzero) digits is 311040, while the sum is 45.
The spelling of 235920904128 in words is "two hundred thirty-five billion, nine hundred twenty million, nine hundred four thousand, one hundred twenty-eight".
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