| Base | Representation |
|---|---|
| bin | 10000011011110100100… |
| … | …110001011101101000000 |
| 3 | 10222222010210021120201200 |
| 4 | 100123310212023231000 |
| 5 | 122000440040103124 |
| 6 | 2222455441501200 |
| 7 | 144411133541400 |
| oct | 20336446135500 |
| 9 | 3888123246650 |
| 10 | 1129385081664 |
| 11 | 3a5a73487854 |
| 12 | 162a70941800 |
| 13 | 82667950368 |
| 14 | 3c93bda4800 |
| 15 | 1e5a0611bc9 |
| hex | 106f498bb40 |
1129385081664 has 252 divisors, whose sum is σ = 3789697547844. Its totient is φ = 320624898048.
The previous prime is 1129385081659. The next prime is 1129385081683. The reversal of 1129385081664 is 4661805839211.
It is a happy number.
1129385081664 is a `hidden beast` number, since 1 + 129 + 3 + 8 + 508 + 1 + 6 + 6 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 153225273600 + 976159808064 = 391440^2 + 988008^2 .
It is a tau number, because it is divible by the number of its divisors (252).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 1129385081664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4303732 + ... + 4558604.
Almost surely, 21129385081664 is an apocalyptic number.
1129385081664 is a gapful number since it is divisible by the number (14) 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 1129385081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894848773922).
1129385081664 is an abundant number, since it is smaller than the sum of its proper divisors (2660312466180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1129385081664 is a wasteful number, since it uses less digits than its factorization.
1129385081664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 255062 (or 255042 counting only the distinct ones).
The product of its (nonzero) digits is 2488320, while the sum is 54.
The spelling of 1129385081664 in words is "one trillion, one hundred twenty-nine billion, three hundred eighty-five million, eighty-one thousand, six hundred sixty-four".
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