| Base | Representation |
|---|---|
| bin | 1000100111001111… |
| … | …0010001110000000 |
| 3 | 12222010112111100000 |
| 4 | 2021303302032000 |
| 5 | 14213341204012 |
| 6 | 1021231200000 |
| 7 | 111203063100 |
| oct | 21163621600 |
| 9 | 5863474300 |
| 10 | 2312053632 |
| 11 | a87104129 |
| 12 | 546376000 |
| 13 | 2ab005695 |
| 14 | 17d0c9200 |
| 15 | d7ea2ddc |
| hex | 89cf2380 |
2312053632 has 576 divisors, whose sum is σ = 8444021040. Its totient is φ = 627056640.
The previous prime is 2312053603. The next prime is 2312053759. The reversal of 2312053632 is 2363502132.
2312053632 is a `hidden beast` number, since 2 + 3 + 1 + 20 + 5 + 3 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2312053596 and 2312053605.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56391532 + ... + 56391572.
Almost surely, 22312053632 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 2312053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222010520).
2312053632 is an abundant number, since it is smaller than the sum of its proper divisors (6131967408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2312053632 is an equidigital number, since it uses as much as digits as its factorization.
2312053632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 2312053632 is about 48083.8188167288. The cubic root of 2312053632 is about 1322.3080281621.
Adding to 2312053632 its reverse (2363502132), we get a palindrome (4675555764).
The spelling of 2312053632 in words is "two billion, three hundred twelve million, fifty-three thousand, six hundred thirty-two".
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