Search a number
-
+
645009012 = 2232374710303
BaseRepresentation
bin100110011100100…
…000111001110100
31122221200212000200
4212130200321310
52310110242022
6144000440500
721661325514
oct4634407164
91587625020
10645009012
113010aa8aa
12160019130
13a382734b
1461941844
153b95dbac
hex26720e74

645009012 has 72 divisors (see below), whose sum is σ = 1710299136. Its totient is φ = 204721344.

The previous prime is 645008999. The next prime is 645009037. The reversal of 645009012 is 210900546.

645009012 is a `hidden beast` number, since 64 + 500 + 90 + 12 = 666.

It is a super-2 number, since 2×6450090122 = 832073251122432288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57453 + ... + 67755.

Almost surely, 2645009012 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 645009012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855149568).

645009012 is an abundant number, since it is smaller than the sum of its proper divisors (1065290124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

645009012 is a wasteful number, since it uses less digits than its factorization.

645009012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10397 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 645009012 is about 25397.0276213576. The cubic root of 645009012 is about 864.0162837723.

Adding to 645009012 its reverse (210900546), we get a palindrome (855909558).

The spelling of 645009012 in words is "six hundred forty-five million, nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 188 222 282 333 423 444 564 666 846 1332 1692 1739 3478 5217 6956 10303 10434 15651 20606 20868 30909 31302 41212 61818 62604 92727 123636 185454 370908 381211 484241 762422 968482 1143633 1452723 1524844 1936964 2287266 2905446 3430899 4358169 4574532 5810892 6861798 8716338 13723596 17432676 17916917 35833834 53750751 71667668 107501502 161252253 215003004 322504506 645009012