Base | Representation |
---|---|
bin | 110001101110001000… |
… | …1001101100000010000 |
3 | 101012121022110111021021 |
4 | 1203130101031200100 |
5 | 3222133311330014 |
6 | 121015052405224 |
7 | 10466656045252 |
oct | 1433421154020 |
9 | 335538414237 |
10 | 106774714384 |
11 | 413125a7308 |
12 | 1883a776814 |
13 | a0b8247190 |
14 | 524cad5cd2 |
15 | 2b9dda2624 |
hex | 18dc44d810 |
106774714384 has 80 divisors (see below), whose sum is σ = 236641447728. Its totient is φ = 46234976256.
The previous prime is 106774714381. The next prime is 106774714393. The reversal of 106774714384 is 483417477601.
It can be written as a sum of positive squares in 8 ways, for example, as 32775481600 + 73999232784 = 181040^2 + 272028^2 .
It is a super-2 number, since 2×1067747143842 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (52).
It is not an unprimeable number, because it can be changed into a prime (106774714381) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073284 + ... + 1168540.
Almost surely, 2106774714384 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 106774714384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320723864).
106774714384 is an abundant number, since it is smaller than the sum of its proper divisors (129866733344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106774714384 is a wasteful number, since it uses less digits than its factorization.
106774714384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95612 (or 95606 counting only the distinct ones).
The product of its (nonzero) digits is 3161088, while the sum is 52.
The spelling of 106774714384 in words is "one hundred six billion, seven hundred seventy-four million, seven hundred fourteen thousand, three hundred eighty-four".
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