Base | Representation |
---|---|
bin | 10011100111100011… |
… | …11110011000010000 |
3 | 1000012000121010012011 |
4 | 21303301332120100 |
5 | 133032244234432 |
6 | 4501042112304 |
7 | 522001023151 |
oct | 116361763020 |
9 | 30160533164 |
10 | 10532414992 |
11 | 4515301300 |
12 | 205b34b694 |
13 | cbb0b1828 |
14 | 71cb55928 |
15 | 4199ca847 |
hex | 273c7e610 |
10532414992 has 60 divisors (see below), whose sum is σ = 22907783808. Its totient is φ = 4685560000.
The previous prime is 10532414939. The next prime is 10532414993. The reversal of 10532414992 is 29941423501.
10532414992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×105324149922 (a number of 21 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10532414993) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33117 + ... + 148867.
Almost surely, 210532414992 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 10532414992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453891904).
10532414992 is an abundant number, since it is smaller than the sum of its proper divisors (12375368816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10532414992 is a wasteful number, since it uses less digits than its factorization.
10532414992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115828 (or 115811 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 40.
It can be divided in two parts, 10532 and 414992, that added together give a palindrome (425524).
The spelling of 10532414992 in words is "ten billion, five hundred thirty-two million, four hundred fourteen thousand, nine hundred ninety-two".
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