Base | Representation |
---|---|
bin | 110001011000011011… |
… | …1000000010010011000 |
3 | 101010201120001111222100 |
4 | 1202300313000102120 |
5 | 3214140341033331 |
6 | 120414514523400 |
7 | 10442633506305 |
oct | 1426067002230 |
9 | 333646044870 |
10 | 106046424216 |
11 | 40a79495107 |
12 | 18676896560 |
13 | a0003b1155 |
14 | 51c00b60ac |
15 | 2b59e92ae6 |
hex | 18b0dc0498 |
106046424216 has 96 divisors (see below), whose sum is σ = 293991057360. Its totient is φ = 34514678016.
The previous prime is 106046424179. The next prime is 106046424227. The reversal of 106046424216 is 612424640601.
106046424216 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 642 + 4 + 2 + 1 + 6 = 666.
It is a super-2 number, since 2×1060464242162 (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 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, 14649750 + ... + 14656986.
Almost surely, 2106046424216 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 106046424216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146995528680).
106046424216 is an abundant number, since it is smaller than the sum of its proper divisors (187944633144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106046424216 is a wasteful number, since it uses less digits than its factorization.
106046424216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12025 (or 12018 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The spelling of 106046424216 in words is "one hundred six billion, forty-six million, four hundred twenty-four thousand, two hundred sixteen".
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