| Base | Representation |
|---|---|
| bin | 10011100110110111101… |
| … | …100011111010111000000 |
| 3 | 11202210220002100010222210 |
| 4 | 103212313230133113000 |
| 5 | 134033442101010320 |
| 6 | 2510553504502120 |
| 7 | 166226664420300 |
| oct | 23466754372700 |
| 9 | 4683802303883 |
| 10 | 1347406656960 |
| 11 | 47a482a27231 |
| 12 | 19917791a940 |
| 13 | 9a0a17b5250 |
| 14 | 493016cb600 |
| 15 | 250b0ca20e0 |
| hex | 139b7b1f5c0 |
1347406656960 has 1344 divisors, whose sum is σ = 5709103948800. Its totient is φ = 266094968832.
The previous prime is 1347406656949. The next prime is 1347406656961. The reversal of 1347406656960 is 696566047431.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (57).
It is a self number, because there is not a number n which added to its sum of digits gives 1347406656960.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1347406656961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1034079669 + ... + 1034080971.
It is an arithmetic number, because the mean of its divisors is an integer number (4247845200).
Almost surely, 21347406656960 is an apocalyptic number.
1347406656960 is a gapful number since it is divisible by the number (10) 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 1347406656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854551974400).
1347406656960 is an abundant number, since it is smaller than the sum of its proper divisors (4361697291840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1347406656960 is a wasteful number, since it uses less digits than its factorization.
1347406656960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1458 (or 1441 counting only the distinct ones).
The product of its (nonzero) digits is 19595520, while the sum is 57.
The spelling of 1347406656960 in words is "one trillion, three hundred forty-seven billion, four hundred six million, six hundred fifty-six thousand, nine hundred sixty".
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