| Base | Representation |
|---|---|
| bin | 11000010010100001… |
| … | …10110010101100000 |
| 3 | 1020122210122120110100 |
| 4 | 30021100312111200 |
| 5 | 203201310014241 |
| 6 | 5553551102400 |
| 7 | 641102560164 |
| oct | 141120662540 |
| 9 | 36583576410 |
| 10 | 13040313696 |
| 11 | 5591a0a763 |
| 12 | 263b211a00 |
| 13 | 12ca848267 |
| 14 | 8b9c60ca4 |
| 15 | 514c669b6 |
| hex | 309436560 |
13040313696 has 72 divisors (see below), whose sum is σ = 37136277360. Its totient is φ = 4340572416.
The previous prime is 13040313653. The next prime is 13040313697. The reversal of 13040313696 is 69631304031.
13040313696 is a `hidden beast` number, since 1 + 30 + 403 + 136 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 13040313696.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13040313697) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172261 + ... + 236123.
It is an arithmetic number, because the mean of its divisors is an integer number (515781630).
Almost surely, 213040313696 is an apocalyptic number.
13040313696 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 13040313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568138680).
13040313696 is an abundant number, since it is smaller than the sum of its proper divisors (24095963664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13040313696 is a wasteful number, since it uses less digits than its factorization.
13040313696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64588 (or 64577 counting only the distinct ones).
The product of its (nonzero) digits is 34992, while the sum is 36.
The spelling of 13040313696 in words is "thirteen billion, forty million, three hundred thirteen thousand, six hundred ninety-six".
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