| Base | Representation |
|---|---|
| bin | 1100010010100110110110… |
| … | …0110101011101010000000 |
| 3 | 1202211220111101002012001000 |
| 4 | 3010221231212223222000 |
| 5 | 3232402233312020143 |
| 6 | 44424053505412000 |
| 7 | 2563224465315426 |
| oct | 304515546535200 |
| 9 | 52756441065030 |
| 10 | 13513805970048 |
| 11 | 434019a19089a |
| 12 | 162309633a000 |
| 13 | 77046716b227 |
| 14 | 34a100a55116 |
| 15 | 1867d2372bd3 |
| hex | c4a6d9aba80 |
13513805970048 has 1536 divisors, whose sum is σ = 46738861056000. Its totient is φ = 3825212719104.
The previous prime is 13513805970043. The next prime is 13513805970079. The reversal of 13513805970048 is 84007950831531.
13513805970048 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 8 + 0 + 597 + 0 + 0 + 48 = 666.
It is a super-2 number, since 2×135138059700482 (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 a junction number, because it is equal to n+sod(n) for n = 13513805969976 and 13513805970003.
It is not an unprimeable number, because it can be changed into a prime (13513805970043) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78114485290 + ... + 78114485462.
It is an arithmetic number, because the mean of its divisors is an integer number (30428946000).
Almost surely, 213513805970048 is an apocalyptic number.
13513805970048 is a gapful number since it is divisible by the number (18) 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 13513805970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369430528000).
13513805970048 is an abundant number, since it is smaller than the sum of its proper divisors (33225055085952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13513805970048 is a wasteful number, since it uses less digits than its factorization.
13513805970048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 407 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 3628800, while the sum is 54.
The spelling of 13513805970048 in words is "thirteen trillion, five hundred thirteen billion, eight hundred five million, nine hundred seventy thousand, forty-eight".
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