Base | Representation |
---|---|
bin | 110000110110011011… |
… | …0100101010100000000 |
3 | 101000210001010200111000 |
4 | 1201230312211110000 |
5 | 3204321244304130 |
6 | 120105400052000 |
7 | 10402440503010 |
oct | 1415466452400 |
9 | 330701120430 |
10 | 104905463040 |
11 | 40543443094 |
12 | 183b8764000 |
13 | 9b7abbb2b1 |
14 | 5112753c40 |
15 | 2adec1a260 |
hex | 186cda5500 |
104905463040 has 1152 divisors, whose sum is σ = 463873536000. Its totient is φ = 21905178624.
The previous prime is 104905463017. The next prime is 104905463041. The reversal of 104905463040 is 40364509401.
104905463040 is a `hidden beast` number, since 1 + 0 + 49 + 0 + 546 + 30 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×1049054630402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 104905462986 and 104905463004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (104905463041) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133297527 + ... + 133298313.
It is an arithmetic number, because the mean of its divisors is an integer number (402668000).
Almost surely, 2104905463040 is an apocalyptic number.
104905463040 is a gapful number since it is divisible by the number (10) 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 104905463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231936768000).
104905463040 is an abundant number, since it is smaller than the sum of its proper divisors (358968072960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104905463040 is a wasteful number, since it uses less digits than its factorization.
104905463040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 872 (or 852 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 104905463040 in words is "one hundred four billion, nine hundred five million, four hundred sixty-three thousand, forty".
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