Base | Representation |
---|---|
bin | 101100000001100001… |
… | …111110101100100000 |
3 | 11112000100110022111200 |
4 | 230001201332230200 |
5 | 1233302200400044 |
6 | 33414331041200 |
7 | 3262255063446 |
oct | 540141765440 |
9 | 145010408450 |
10 | 47270325024 |
11 | 1905795891a |
12 | 91b28a0200 |
13 | 45c4396230 |
14 | 2405db4b96 |
15 | 1369dec369 |
hex | b0187eb20 |
47270325024 has 144 divisors (see below), whose sum is σ = 148678383672. Its totient is φ = 14151573504.
The previous prime is 47270325023. The next prime is 47270325041. The reversal of 47270325024 is 42052307274.
It is a happy number.
47270325024 is a `hidden beast` number, since 47 + 270 + 325 + 0 + 24 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 39628068624 + 7642256400 = 199068^2 + 87420^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 47270325024.
It is not an unprimeable number, because it can be changed into a prime (47270325023) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32089 + ... + 309144.
Almost surely, 247270325024 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 47270325024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74339191836).
47270325024 is an abundant number, since it is smaller than the sum of its proper divisors (101408058648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47270325024 is a wasteful number, since it uses less digits than its factorization.
47270325024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 341299 (or 341288 counting only the distinct ones).
The product of its (nonzero) digits is 94080, while the sum is 36.
The spelling of 47270325024 in words is "forty-seven billion, two hundred seventy million, three hundred twenty-five thousand, twenty-four".
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