Base | Representation |
---|---|
bin | 101110110011101001… |
… | …0010101001111110000 |
3 | 100121110012200002020200 |
4 | 1131213102111033300 |
5 | 3121324334403142 |
6 | 114102114235200 |
7 | 10155623211063 |
oct | 1354722251760 |
9 | 317405602220 |
10 | 100517106672 |
11 | 396a1316a94 |
12 | 17592b85b00 |
13 | 962b9a4018 |
14 | 4c179ca8da |
15 | 293483164c |
hex | 17674953f0 |
100517106672 has 120 divisors (see below), whose sum is σ = 290655825408. Its totient is φ = 32394384000.
The previous prime is 100517106647. The next prime is 100517106689. The reversal of 100517106672 is 276601715001.
100517106672 is a `hidden beast` number, since 1 + 0 + 0 + 517 + 10 + 66 + 72 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5003047 + ... + 5023097.
Almost surely, 2100517106672 is an apocalyptic number.
100517106672 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 100517106672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145327912704).
100517106672 is an abundant number, since it is smaller than the sum of its proper divisors (190138718736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100517106672 is a wasteful number, since it uses less digits than its factorization.
100517106672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21219 (or 21210 counting only the distinct ones).
The product of its (nonzero) digits is 17640, while the sum is 36.
The spelling of 100517106672 in words is "one hundred billion, five hundred seventeen million, one hundred six thousand, six hundred seventy-two".
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