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641028816 = 2434494621
BaseRepresentation
bin100110001101010…
…101001011010000
31122200012122020000
4212031111023100
52303100410231
6143335250000
721612440451
oct4615251320
91580178200
10641028816
112a993148a
1215a819900
13a2a627bc
14611c7128
153b4246e6
hex263552d0

641028816 has 50 divisors (see below), whose sum is σ = 1855327122. Its totient is φ = 213675840.

The previous prime is 641028797. The next prime is 641028823. The reversal of 641028816 is 618820146.

641028816 is a `hidden beast` number, since 641 + 0 + 2 + 8 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 609892416 + 31136400 = 24696^2 + 5580^2 .

It is a super-3 number, since 3×6410288163 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 246015 + ... + 248606.

Almost surely, 2641028816 is an apocalyptic number.

It is an amenable number.

641028816 is an abundant number, since it is smaller than the sum of its proper divisors (1214298306).

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

641028816 is a wasteful number, since it uses less digits than its factorization.

641028816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494641 (or 494626 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 641028816 is about 25318.5468777337. The cubic root of 641028816 is about 862.2354031456.

The spelling of 641028816 in words is "six hundred forty-one million, twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 494621 989242 1483863 1978484 2967726 3956968 4451589 5935452 7913936 8903178 11870904 13354767 17806356 23741808 26709534 35612712 40064301 53419068 71225424 80128602 106838136 160257204 213676272 320514408 641028816