Base | Representation |
---|---|
bin | 101110111000100111… |
… | …0000000010011010100 |
3 | 100121212211020011022220 |
4 | 1131301032000103110 |
5 | 3122200014310333 |
6 | 114130430022340 |
7 | 10163015464416 |
oct | 1356116002324 |
9 | 317784204286 |
10 | 100683744468 |
11 | 3977739247a |
12 | 1761a9479b0 |
13 | 9657379b78 |
14 | 4c31ba69b6 |
15 | 294429a8b3 |
hex | 17713804d4 |
100683744468 has 96 divisors (see below), whose sum is σ = 256389090048. Its totient is φ = 30631372800.
The previous prime is 100683744443. The next prime is 100683744547. The reversal of 100683744468 is 864447386001.
It is a Harshad number since it is a multiple of its sum of digits (51).
It is a self number, because there is not a number n which added to its sum of digits gives 100683744468.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826546 + ... + 940502.
It is an arithmetic number, because the mean of its divisors is an integer number (2670719688).
Almost surely, 2100683744468 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100683744468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128194545024).
100683744468 is an abundant number, since it is smaller than the sum of its proper divisors (155705345580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100683744468 is a wasteful number, since it uses less digits than its factorization.
100683744468 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114113 (or 114111 counting only the distinct ones).
The product of its (nonzero) digits is 3096576, while the sum is 51.
The spelling of 100683744468 in words is "one hundred billion, six hundred eighty-three million, seven hundred forty-four thousand, four hundred sixty-eight".
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