Base | Representation |
---|---|
bin | 11110111001011011100… |
… | …000010111010100000000 |
3 | 21111222110212200120000000 |
4 | 132321123200113110000 |
5 | 234241403224224401 |
6 | 4303223540000000 |
7 | 306254043120660 |
oct | 36713340272400 |
9 | 7458425616000 |
10 | 2123249054976 |
11 | 749512814005 |
12 | 2a35bb990000 |
13 | 1252b590447a |
14 | 74aa15101a0 |
15 | 3a36d321186 |
hex | 1ee5b817500 |
2123249054976 has 576 divisors, whose sum is σ = 7419590492160. Its totient is φ = 593683789824.
The previous prime is 2123249054897. The next prime is 2123249054981. The reversal of 2123249054976 is 6794509423212.
It is a happy number.
2123249054976 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 4 + 90 + 549 + 7 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 184192125 + ... + 184203651.
Almost surely, 22123249054976 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 2123249054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709795246080).
2123249054976 is an abundant number, since it is smaller than the sum of its proper divisors (5296341437184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123249054976 is an frugal number, since it uses more digits than its factorization.
2123249054976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11618 (or 11586 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 2123249054976 in words is "two trillion, one hundred twenty-three billion, two hundred forty-nine million, fifty-four thousand, nine hundred seventy-six".
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