Base | Representation |
---|---|
bin | 10011111000011110… |
… | …01110011010000000 |
3 | 1000112220120122120121 |
4 | 21330033032122000 |
5 | 133330110104134 |
6 | 4523111150024 |
7 | 525343025515 |
oct | 117417163200 |
9 | 30486518517 |
10 | 10674300544 |
11 | 4588400a96 |
12 | 209a975314 |
13 | 10115cc18b |
14 | 73392b30c |
15 | 4271a5ab4 |
hex | 27c3ce680 |
10674300544 has 96 divisors (see below), whose sum is σ = 22821330060. Its totient is φ = 4971724800.
The previous prime is 10674300523. The next prime is 10674300547. The reversal of 10674300544 is 44500347601.
It can be written as a sum of positive squares in 6 ways, for example, as 10549754944 + 124545600 = 102712^2 + 11160^2 .
It is a super-2 number, since 2×106743005442 (a number of 21 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is not an unprimeable number, because it can be changed into a prime (10674300547) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3734764 + ... + 3737620.
Almost surely, 210674300544 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 10674300544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11410665030).
10674300544 is an abundant number, since it is smaller than the sum of its proper divisors (12147029516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10674300544 is a wasteful number, since it uses less digits than its factorization.
10674300544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3006 (or 2977 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 34.
The spelling of 10674300544 in words is "ten billion, six hundred seventy-four million, three hundred thousand, five hundred forty-four".
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