| Base | Representation |
|---|---|
| bin | 10010011111111101100… |
| … | …010100100001001000000 |
| 3 | 11111112100220222220200000 |
| 4 | 102133331202210021000 |
| 5 | 131312024334031041 |
| 6 | 2412002443400000 |
| 7 | 160563142423500 |
| oct | 22377542441100 |
| 9 | 4445326886600 |
| 10 | 1271269048896 |
| 11 | 450162266400 |
| 12 | 186469523000 |
| 13 | 92b59921462 |
| 14 | 4575b8c5a00 |
| 15 | 23106925bb6 |
| hex | 127fd8a4240 |
1271269048896 has 1512 divisors, whose sum is σ = 5122242504288. Its totient is φ = 310393036800.
The previous prime is 1271269048823. The next prime is 1271269048901. The reversal of 1271269048896 is 6988409621721.
1271269048896 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 2 + 69 + 0 + 488 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (1512).
It is a super-2 number, since 2×12712690488962 (a number of 25 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1567532331 + ... + 1567533141.
It is an arithmetic number, because the mean of its divisors is an integer number (3387726524).
Almost surely, 21271269048896 is an apocalyptic number.
1271269048896 is a gapful number since it is divisible by the number (16) 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 1271269048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561121252144).
1271269048896 is an abundant number, since it is smaller than the sum of its proper divisors (3850973455392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1271269048896 is a wasteful number, since it uses less digits than its factorization.
1271269048896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 891 (or 851 counting only the distinct ones).
The product of its (nonzero) digits is 20901888, while the sum is 63.
The spelling of 1271269048896 in words is "one trillion, two hundred seventy-one billion, two hundred sixty-nine million, forty-eight thousand, eight hundred ninety-six".
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