Base | Representation |
---|---|
bin | 1000100100011111… |
… | …00001000111101000 |
3 | 102212122122021202100 |
4 | 10102033201013220 |
5 | 33410330300000 |
6 | 2040315533400 |
7 | 222006032025 |
oct | 42217410750 |
9 | 12778567670 |
10 | 4601025000 |
11 | 1a51182200 |
12 | a84a5a260 |
13 | 5842b8a00 |
14 | 3190c654c |
15 | 1bdde6a00 |
hex | 1123e11e8 |
4601025000 has 648 divisors, whose sum is σ = 18538286130. Its totient is φ = 1029600000.
The previous prime is 4601024969. The next prime is 4601025007. The reversal of 4601025000 is 5201064.
It is a happy number.
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.
4601025000 is a `hidden beast` number, since 4 + 60 + 102 + 500 + 0 = 666.
It can be written as a sum of positive squares in 9 ways, for example, as 3791850084 + 809174916 = 61578^2 + 28446^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (4601025007) by changing a digit.
It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 353924994 + ... + 353925006.
Almost surely, 24601025000 is an apocalyptic number.
4601025000 is a gapful number since it is divisible by the number (40) 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 4601025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9269143065).
4601025000 is an abundant number, since it is smaller than the sum of its proper divisors (13937261130).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4601025000 is a wasteful number, since it uses less digits than its factorization.
4601025000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 4601025000 is about 67830.8558106117. The cubic root of 4601025000 is about 1663.2270172818.
Adding to 4601025000 its reverse (5201064), we get a palindrome (4606226064).
The spelling of 4601025000 in words is "four billion, six hundred one million, twenty-five thousand".
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