Base | Representation |
---|---|
bin | 1011011000110100010000101… |
… | …1110001111000000000000000 |
3 | 10220002022120120110010111212000 |
4 | 2312031010023301320000000 |
5 | 1320013143023031401400 |
6 | 11520151324145104000 |
7 | 330535033330322400 |
oct | 26615041361700000 |
9 | 3802276513114760 |
10 | 801342310809600 |
11 | 212372402556a1a |
12 | 75a61612628000 |
13 | 2851a342903841 |
14 | 101c526388c800 |
15 | 6299b44973600 |
hex | 2d8d10bc78000 |
801342310809600 has 9216 divisors, whose sum is σ = 3970043443814400. Its totient is φ = 156959244288000.
The previous prime is 801342310809553. The next prime is 801342310809647. The reversal of 801342310809600 is 6908013243108.
801342310809600 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 4 + 2 + 31 + 0 + 8 + 0 + 9 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (801342310809553) and next prime (801342310809647).
It is a tau number, because it is divible by the number of its divisors (9216).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13136759193570 + ... + 13136759193630.
It is an arithmetic number, because the mean of its divisors is an integer number (430777283400).
Almost surely, 2801342310809600 is an apocalyptic number.
801342310809600 is a gapful number since it is divisible by the number (80) 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 801342310809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985021721907200).
801342310809600 is an abundant number, since it is smaller than the sum of its proper divisors (3168701133004800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
801342310809600 is a wasteful number, since it uses less digits than its factorization.
801342310809600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The spelling of 801342310809600 in words is "eight hundred one trillion, three hundred forty-two billion, three hundred ten million, eight hundred nine thousand, six hundred".
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