Base | Representation |
---|---|
bin | 110000110110111110… |
… | …0101111110000000000 |
3 | 101000211022202010201000 |
4 | 1201231330233300000 |
5 | 3204341001341442 |
6 | 120111254212000 |
7 | 10403053026303 |
oct | 1415574576000 |
9 | 330738663630 |
10 | 104923855872 |
11 | 40552865980 |
12 | 18402954000 |
13 | 9b8195b024 |
14 | 5114d80b3a |
15 | 2ae164ed4c |
hex | 186df2fc00 |
104923855872 has 528 divisors, whose sum is σ = 351245548800. Its totient is φ = 30683750400.
The previous prime is 104923855847. The next prime is 104923855873. The reversal of 104923855872 is 278558329401.
104923855872 is a `hidden beast` number, since 1 + 0 + 492 + 3 + 85 + 5 + 8 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (528).
It is a super-4 number, since 4×1049238558724 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (104923855873) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292266829 + ... + 292267187.
Almost surely, 2104923855872 is an apocalyptic number.
104923855872 is a gapful number since it is divisible by the number (12) 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 104923855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175622774400).
104923855872 is an abundant number, since it is smaller than the sum of its proper divisors (246321692928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104923855872 is a wasteful number, since it uses less digits than its factorization.
104923855872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 461 (or 406 counting only the distinct ones).
The product of its (nonzero) digits is 4838400, while the sum is 54.
The spelling of 104923855872 in words is "one hundred four billion, nine hundred twenty-three million, eight hundred fifty-five thousand, eight hundred seventy-two".
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