| Base | Representation |
|---|---|
| bin | 100101110110101110111… |
| … | …000100000000000000000 |
| 3 | 100012200122021211200000000 |
| 4 | 211312232320200000000 |
| 5 | 320110121122321200 |
| 6 | 5311021200000000 |
| 7 | 355641564610101 |
| oct | 45665670400000 |
| 9 | 10180567750000 |
| 10 | 2601389260800 |
| 11 | 913274468600 |
| 12 | 360200000000 |
| 13 | 15b404c80195 |
| 14 | 8dc9d44c3a8 |
| 15 | 47a04cbd300 |
| hex | 25daee20000 |
2601389260800 has 1458 divisors, whose sum is σ = 10636306211349. Its totient is φ = 630639820800.
The previous prime is 2601389260741. The next prime is 2601389260801. The reversal of 2601389260800 is 80629831062.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
2601389260800 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 38 + 9 + 2 + 608 + 0 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2549361475584 + 52027785216 = 1596672^2 + 228096^2 .
It is a tau number, because it is divible by the number of its divisors (1458).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=1140480.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (2601389260801) by changing a digit.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 236489932795 + ... + 236489932805.
Almost surely, 22601389260800 is an apocalyptic number.
2601389260800 is a gapful number since it is divisible by the number (20) 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 2601389260800
2601389260800 is an abundant number, since it is smaller than the sum of its proper divisors (8034916950549).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2601389260800 is an frugal number, since it uses more digits than its factorization.
2601389260800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The spelling of 2601389260800 in words is "two trillion, six hundred one billion, three hundred eighty-nine million, two hundred sixty thousand, eight hundred".
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