Base | Representation |
---|---|
bin | 111111000011110011… |
… | …100001110100100000 |
3 | 20110202210111202200000 |
4 | 333003303201310200 |
5 | 2102132122340212 |
6 | 51034431100000 |
7 | 4614622613043 |
oct | 770363416440 |
9 | 213683452600 |
10 | 67709574432 |
11 | 26796320485 |
12 | 11157971600 |
13 | 6500a75456 |
14 | 33c475ac5a |
15 | 1b644d11dc |
hex | fc3ce1d20 |
67709574432 has 144 divisors (see below), whose sum is σ = 200039872032. Its totient is φ = 22529249280.
The previous prime is 67709574407. The next prime is 67709574433. The reversal of 67709574432 is 23447590776.
67709574432 is a `hidden beast` number, since 67 + 7 + 0 + 9 + 574 + 4 + 3 + 2 = 666.
67709574432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (54).
It is not an unprimeable number, because it can be changed into a prime (67709574433) 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, 4479207 + ... + 4494297.
It is an arithmetic number, because the mean of its divisors is an integer number (1389165778).
Almost surely, 267709574432 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 67709574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100019936016).
67709574432 is an abundant number, since it is smaller than the sum of its proper divisors (132330297600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67709574432 is a wasteful number, since it uses less digits than its factorization.
67709574432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15693 (or 15673 counting only the distinct ones).
The product of its (nonzero) digits is 8890560, while the sum is 54.
The spelling of 67709574432 in words is "sixty-seven billion, seven hundred nine million, five hundred seventy-four thousand, four hundred thirty-two".
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