| Base | Representation |
|---|---|
| bin | 10011101100001101010… |
| … | …100100101001111100000 |
| 3 | 11210100200112020120111000 |
| 4 | 103230031110211033200 |
| 5 | 134132211334304342 |
| 6 | 2513342331352000 |
| 7 | 166522011622035 |
| oct | 23541524451740 |
| 9 | 4710615216430 |
| 10 | 1353138197472 |
| 11 | 481954266476 |
| 12 | 19a2b72b2600 |
| 13 | 9a7a6077439 |
| 14 | 496c69b738c |
| 15 | 252e905b44c |
| hex | 13b0d5253e0 |
1353138197472 has 192 divisors, whose sum is σ = 3968745984000. Its totient is φ = 448528034304.
The previous prime is 1353138197471. The next prime is 1353138197557. The reversal of 1353138197472 is 2747918313531.
1353138197472 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 3 + 81 + 97 + 472 = 666.
It is a super-3 number, since 3×13531381974723 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1353138197471) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 121254229 + ... + 121265387.
It is an arithmetic number, because the mean of its divisors is an integer number (20670552000).
Almost surely, 21353138197472 is an apocalyptic number.
1353138197472 is a gapful number since it is divisible by the number (12) 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 1353138197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984372992000).
1353138197472 is an abundant number, since it is smaller than the sum of its proper divisors (2615607786528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1353138197472 is a wasteful number, since it uses less digits than its factorization.
1353138197472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11950 (or 11936 counting only the distinct ones).
The product of its digits is 3810240, while the sum is 54.
The spelling of 1353138197472 in words is "one trillion, three hundred fifty-three billion, one hundred thirty-eight million, one hundred ninety-seven thousand, four hundred seventy-two".
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