| Base | Representation |
|---|---|
| bin | 101110100100011110111… |
| … | …1101010001110101010000 |
| 3 | 211122212220200121121122010 |
| 4 | 1131020331331101311100 |
| 5 | 1314331301412320130 |
| 6 | 21340211241142520 |
| 7 | 1230265236446301 |
| oct | 135107575216520 |
| 9 | 24585820547563 |
| 10 | 6400540745040 |
| 11 | 20484aa430582 |
| 12 | 87457418aa40 |
| 13 | 375750a1ac00 |
| 14 | 181b05b127a8 |
| 15 | b175d0970b0 |
| hex | 5d23df51d50 |
6400540745040 has 240 divisors, whose sum is σ = 21528490392000. Its totient is φ = 1572355399680.
The previous prime is 6400540745023. The next prime is 6400540745057. The reversal of 6400540745040 is 405470450046.
It is a Cunningham number, because it is equal to 25299292-1.
It is an interprime number because it is at equal distance from previous prime (6400540745023) and next prime (6400540745057).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 6400540745040.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20081320 + ... + 20397560.
It is an arithmetic number, because the mean of its divisors is an integer number (89702043300).
Almost surely, 26400540745040 is an apocalyptic number.
6400540745040 is a gapful number since it is divisible by the number (60) 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 6400540745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764245196000).
6400540745040 is an abundant number, since it is smaller than the sum of its proper divisors (15127949646960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6400540745040 is a wasteful number, since it uses less digits than its factorization.
6400540745040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 316782 (or 316763 counting only the distinct ones).
The product of its (nonzero) digits is 268800, while the sum is 39.
The spelling of 6400540745040 in words is "six trillion, four hundred billion, five hundred forty million, seven hundred forty-five thousand, forty".
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