| Base | Representation |
|---|---|
| bin | 1100101001011101111001… |
| … | …0010001000101011000000 |
| 3 | 1211020110012120111102201000 |
| 4 | 3022113132102020223000 |
| 5 | 3310321042314330331 |
| 6 | 45324324153212000 |
| 7 | 2633466662215422 |
| oct | 312273622105300 |
| 9 | 54213176442630 |
| 10 | 13906538433216 |
| 11 | 4481803448200 |
| 12 | 168721b701000 |
| 13 | 79b4c4c30a00 |
| 14 | 361119938812 |
| 15 | 191b1ac070e6 |
| hex | ca5de488ac0 |
13906538433216 has 2016 divisors, whose sum is σ = 51704167173120. Its totient is φ = 3653185536000.
The previous prime is 13906538433211. The next prime is 13906538433217. The reversal of 13906538433216 is 61233483560931.
13906538433216 is a `hidden beast` number, since 1 + 3 + 90 + 6 + 538 + 4 + 3 + 3 + 2 + 16 = 666.
It is a super-2 number, since 2×139065384332162 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (13906538433211) 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 287 ways as a sum of consecutive naturals, for example, 57703478856 + ... + 57703479096.
It is an arithmetic number, because the mean of its divisors is an integer number (25646908320).
Almost surely, 213906538433216 is an apocalyptic number.
13906538433216 is a gapful number since it is divisible by the number (16) 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 13906538433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25852083586560).
13906538433216 is an abundant number, since it is smaller than the sum of its proper divisors (37797628739904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13906538433216 is a wasteful number, since it uses less digits than its factorization.
13906538433216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 404 (or 364 counting only the distinct ones).
The product of its (nonzero) digits is 8398080, while the sum is 54.
The spelling of 13906538433216 in words is "thirteen trillion, nine hundred six billion, five hundred thirty-eight million, four hundred thirty-three thousand, two hundred sixteen".
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