Base | Representation |
---|---|
bin | 100111010111010111… |
… | …010000011010100000 |
3 | 11001002201111222102220 |
4 | 213113113100122200 |
5 | 1143031040404043 |
6 | 31230111511040 |
7 | 3024303152535 |
oct | 472727203240 |
9 | 131081458386 |
10 | 42267903648 |
11 | 16a20147683 |
12 | 8237528480 |
13 | 3ca7b9a499 |
14 | 208d882d8c |
15 | 1175b68483 |
hex | 9d75d06a0 |
42267903648 has 96 divisors (see below), whose sum is σ = 114213468096. Its totient is φ = 13680795648.
The previous prime is 42267903647. The next prime is 42267903649. The reversal of 42267903648 is 84630976224.
It is an interprime number because it is at equal distance from previous prime (42267903647) and next prime (42267903649).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×422679036482 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 42267903648.
It is not an unprimeable number, because it can be changed into a prime (42267903647) 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 15 ways as a sum of consecutive naturals, for example, 450715 + ... + 536357.
It is an arithmetic number, because the mean of its divisors is an integer number (1189723626).
Almost surely, 242267903648 is an apocalyptic number.
42267903648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42267903648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57106734048).
42267903648 is an abundant number, since it is smaller than the sum of its proper divisors (71945564448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42267903648 is a wasteful number, since it uses less digits than its factorization.
42267903648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 85806 (or 85798 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 51.
The spelling of 42267903648 in words is "forty-two billion, two hundred sixty-seven million, nine hundred three thousand, six hundred forty-eight".
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