| Base | Representation |
|---|---|
| bin | 1100010011110110010101… |
| … | …0100000101100000000000 |
| 3 | 1202220221120022001021102000 |
| 4 | 3010331211110011200000 |
| 5 | 3233224432234321140 |
| 6 | 44441542552424000 |
| 7 | 2564611300203351 |
| oct | 304754524054000 |
| 9 | 52827508037360 |
| 10 | 13535141713920 |
| 11 | 4349248700a72 |
| 12 | 162724b6a8000 |
| 13 | 7724874b7348 |
| 14 | 34b1664c3d28 |
| 15 | 1871304dea30 |
| hex | c4f65505800 |
13535141713920 has 384 divisors, whose sum is σ = 50645492352000. Its totient is φ = 3419402895360.
The previous prime is 13535141713903. The next prime is 13535141713927. The reversal of 13535141713920 is 2931714153531.
13535141713920 is a `hidden beast` number, since 1 + 3 + 53 + 5 + 141 + 71 + 392 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×135351417139202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13535141713927) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3964825 + ... + 6541415.
It is an arithmetic number, because the mean of its divisors is an integer number (131889303000).
Almost surely, 213535141713920 is an apocalyptic number.
13535141713920 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 13535141713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25322746176000).
13535141713920 is an abundant number, since it is smaller than the sum of its proper divisors (37110350638080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13535141713920 is a wasteful number, since it uses less digits than its factorization.
13535141713920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2576646 (or 2576620 counting only the distinct ones).
The product of its (nonzero) digits is 340200, while the sum is 45.
The spelling of 13535141713920 in words is "thirteen trillion, five hundred thirty-five billion, one hundred forty-one million, seven hundred thirteen thousand, nine hundred twenty".
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