| Base | Representation |
|---|---|
| bin | 1100010010001001101100… |
| … | …0111010011100000000000 |
| 3 | 1202211011021221022110111200 |
| 4 | 3010202123013103200000 |
| 5 | 3232240221231440414 |
| 6 | 44420321130341200 |
| 7 | 2562526523044260 |
| oct | 304423307234000 |
| 9 | 52734257273450 |
| 10 | 13505979561984 |
| 11 | 43379433a9658 |
| 12 | 162167128a800 |
| 13 | 76c7ba897340 |
| 14 | 34999b4577a0 |
| 15 | 1864c5217109 |
| hex | c489b1d3800 |
13505979561984 has 1152 divisors, whose sum is σ = 50033881497600. Its totient is φ = 3414054666240.
The previous prime is 13505979561967. The next prime is 13505979561989. The reversal of 13505979561984 is 48916597950531.
13505979561984 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 59 + 7 + 9 + 561 + 9 + 8 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×135059795619842 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13505979561989) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5667636057 + ... + 5667638439.
It is an arithmetic number, because the mean of its divisors is an integer number (43432188800).
Almost surely, 213505979561984 is an apocalyptic number.
13505979561984 is a gapful number since it is divisible by the number (14) 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 13505979561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25016940748800).
13505979561984 is an abundant number, since it is smaller than the sum of its proper divisors (36527901935616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13505979561984 is a wasteful number, since it uses less digits than its factorization.
13505979561984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2571 (or 2548 counting only the distinct ones).
The product of its (nonzero) digits is 367416000, while the sum is 72.
The spelling of 13505979561984 in words is "thirteen trillion, five hundred five billion, nine hundred seventy-nine million, five hundred sixty-one thousand, nine hundred eighty-four".
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