| Base | Representation |
|---|---|
| bin | 11110000111110100110… |
| … | …01000101111100100000 |
| 3 | 10122221111102222200111000 |
| 4 | 33003322121011330200 |
| 5 | 113424131204023432 |
| 6 | 2111245204352000 |
| 7 | 134530043424252 |
| oct | 17037231057440 |
| 9 | 3587442880430 |
| 10 | 1034993032992 |
| 11 | 369a35648576 |
| 12 | 1487090a5600 |
| 13 | 767a3c20319 |
| 14 | 38145a5bcd2 |
| 15 | 1bdc88bc57c |
| hex | f0fa645f20 |
1034993032992 has 288 divisors, whose sum is σ = 3195433644480. Its totient is φ = 325714867200.
The previous prime is 1034993032991. The next prime is 1034993033021. The reversal of 1034993032992 is 2992303994301.
It is a happy number.
1034993032992 is a `hidden beast` number, since 1 + 0 + 3 + 49 + 9 + 303 + 299 + 2 = 666.
1034993032992 is digitally balanced in base 2, 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 (288).
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 (1034993032991) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34027263 + ... + 34057665.
It is an arithmetic number, because the mean of its divisors is an integer number (11095255710).
Almost surely, 21034993032992 is an apocalyptic number.
1034993032992 is a gapful number since it is divisible by the number (12) 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 1034993032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597716822240).
1034993032992 is an abundant number, since it is smaller than the sum of its proper divisors (2160440611488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1034993032992 is a wasteful number, since it uses less digits than its factorization.
1034993032992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30525 (or 30480 counting only the distinct ones).
The product of its (nonzero) digits is 2834352, while the sum is 54.
The spelling of 1034993032992 in words is "one trillion, thirty-four billion, nine hundred ninety-three million, thirty-two thousand, nine hundred ninety-two".
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