Base | Representation |
---|---|
bin | 100001110011011111101… |
… | …101011001110101100000 |
3 | 22020002011100020122020200 |
4 | 201303133231121311200 |
5 | 301030034100430222 |
6 | 4535104322105200 |
7 | 326555662320324 |
oct | 41633755316540 |
9 | 8202140218220 |
10 | 2323035561312 |
11 | 816215016264 |
12 | 316277aab200 |
13 | 13b0a492351b |
14 | 806150d9984 |
15 | 40662b72eac |
hex | 21cdfb59d60 |
2323035561312 has 288 divisors, whose sum is σ = 7146732902400. Its totient is φ = 713565490176.
The previous prime is 2323035561307. The next prime is 2323035561313. The reversal of 2323035561312 is 2131655303232.
2323035561312 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 35 + 5 + 613 + 1 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×23230355613122 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2323035561313) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88927389 + ... + 88953507.
It is an arithmetic number, because the mean of its divisors is an integer number (24815044800).
Almost surely, 22323035561312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2323035561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573366451200).
2323035561312 is an abundant number, since it is smaller than the sum of its proper divisors (4823697341088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2323035561312 is a wasteful number, since it uses less digits than its factorization.
2323035561312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26650 (or 26639 counting only the distinct ones).
The product of its (nonzero) digits is 97200, while the sum is 36.
The spelling of 2323035561312 in words is "two trillion, three hundred twenty-three billion, thirty-five million, five hundred sixty-one thousand, three hundred twelve".
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