| Base | Representation |
|---|---|
| bin | 110110000000000… |
| … | …000000000000000 |
| 3 | 2100010202000202000 |
| 4 | 312000000000000 |
| 5 | 3323412012124 |
| 6 | 225522024000 |
| 7 | 31310420655 |
| oct | 6600000000 |
| 9 | 2303660660 |
| 10 | 905969664 |
| 11 | 42543a466 |
| 12 | 2134a8000 |
| 13 | 115906932 |
| 14 | 88471c2c |
| 15 | 5480a6c9 |
| hex | 36000000 |
905969664 has 104 divisors (see below), whose sum is σ = 2684354520. Its totient is φ = 301989888.
The previous prime is 905969653. The next prime is 905969671. The reversal of 905969664 is 466969509.
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.
It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ (2!)16.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nialpdrome in base 8.
It is a zygodrome in base 8.
It is a self number, because there is not a number n which added to its sum of digits gives 905969664.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301989887 + 301989888 + 301989889.
Almost surely, 2905969664 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 905969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342177260).
905969664 is an abundant number, since it is smaller than the sum of its proper divisors (1778384856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
905969664 is an frugal number, since it uses more digits than its factorization.
905969664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 3149280, while the sum is 54.
The square root of 905969664 is about 30099.3299593197. The cubic root of 905969664 is about 967.6193663193.
Multiplying 905969664 by its sum of digits (54), we get a square (48922361856 = 2211842).
905969664 divided by its sum of digits (54) gives a 24-th power (16777216 = 224).
The spelling of 905969664 in words is "nine hundred five million, nine hundred sixty-nine thousand, six hundred sixty-four".
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