Base | Representation |
---|---|
bin | 11010001101001010110… |
… | …00111110100000001000 |
3 | 10012002011000122022122002 |
4 | 31012211120332200020 |
5 | 104223031233443333 |
6 | 1525352032450132 |
7 | 122024214550400 |
oct | 15064530764010 |
9 | 3162130568562 |
10 | 900422952968 |
11 | 31795a312700 |
12 | 1266119a9948 |
13 | 66ba92a5c36 |
14 | 3181b643800 |
15 | 1864e7260e8 |
hex | d1a563e808 |
900422952968 has 108 divisors (see below), whose sum is σ = 2159198473005. Its totient is φ = 350733620160.
The previous prime is 900422952967. The next prime is 900422952977. The reversal of 900422952968 is 869259224009.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 477478236004 + 422944716964 = 690998^2 + 650342^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=670978.
It is a super-2 number, since 2×9004229529682 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (56).
It is not an unprimeable number, because it can be changed into a prime (900422952967) 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 26 ways as a sum of consecutive naturals, for example, 206659046 + ... + 206663402.
Almost surely, 2900422952968 is an apocalyptic number.
900422952968 is a gapful number since it is divisible by the number (98) 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 900422952968
900422952968 is an abundant number, since it is smaller than the sum of its proper divisors (1258775520037).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
900422952968 is an equidigital number, since it uses as much as digits as its factorization.
900422952968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8756 (or 4377 counting only the distinct ones).
The product of its (nonzero) digits is 5598720, while the sum is 56.
The spelling of 900422952968 in words is "nine hundred billion, four hundred twenty-two million, nine hundred fifty-two thousand, nine hundred sixty-eight".
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