| Base | Representation |
|---|---|
| bin | 10011101100000011011… |
| … | …001001101011011010000 |
| 3 | 11210100020220211111111110 |
| 4 | 103230003121031123100 |
| 5 | 134131341214412410 |
| 6 | 2513314021413320 |
| 7 | 166514620114230 |
| oct | 23540331153320 |
| 9 | 4710226744443 |
| 10 | 1352971638480 |
| 11 | 481879244210 |
| 12 | 19a26b56a240 |
| 13 | 9a77a6cb417 |
| 14 | 496ac81bcc0 |
| 15 | 252d960a720 |
| hex | 13b0364d6d0 |
1352971638480 has 480 divisors, whose sum is σ = 5374396016640. Its totient is φ = 273533552640.
The previous prime is 1352971638479. The next prime is 1352971638509. The reversal of 1352971638480 is 848361792531.
It is a hoax number, since the sum of its digits (57) 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 1352971638480.
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 95 ways as a sum of consecutive naturals, for example, 25272381 + ... + 25325859.
It is an arithmetic number, because the mean of its divisors is an integer number (11196658368).
It is a 1-persistent number, because it is pandigital, but 2⋅1352971638480 = 2705943276960 is not.
Almost surely, 21352971638480 is an apocalyptic number.
1352971638480 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 1352971638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687198008320).
1352971638480 is an abundant number, since it is smaller than the sum of its proper divisors (4021424378160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1352971638480 is a wasteful number, since it uses less digits than its factorization.
1352971638480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53587 (or 53544 counting only the distinct ones).
The product of its (nonzero) digits is 8709120, while the sum is 57.
The spelling of 1352971638480 in words is "one trillion, three hundred fifty-two billion, nine hundred seventy-one million, six hundred thirty-eight thousand, four hundred eighty".
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