Base | Representation |
---|---|
bin | 10011110100111110… |
… | …00010101110000000 |
3 | 1000110212020120101102 |
4 | 21322133002232000 |
5 | 133300043030134 |
6 | 4520140553532 |
7 | 524535044066 |
oct | 117237025600 |
9 | 30425216342 |
10 | 10644892544 |
11 | 4572845360 |
12 | 2090b528a8 |
13 | 10084a37b0 |
14 | 72da74036 |
15 | 4247e737e |
hex | 27a7c2b80 |
10644892544 has 128 divisors (see below), whose sum is σ = 25268060160. Its totient is φ = 4402944000.
The previous prime is 10644892493. The next prime is 10644892547. The reversal of 10644892544 is 44529844601.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×106448925442 (a number of 21 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10644892547) 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, 1295489 + ... + 1303679.
It is an arithmetic number, because the mean of its divisors is an integer number (197406720).
Almost surely, 210644892544 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 10644892544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634030080).
10644892544 is an abundant number, since it is smaller than the sum of its proper divisors (14623167616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10644892544 is a wasteful number, since it uses less digits than its factorization.
10644892544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8300 (or 8288 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 47.
The spelling of 10644892544 in words is "ten billion, six hundred forty-four million, eight hundred ninety-two thousand, five hundred forty-four".
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