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641221568 = 2613797967
BaseRepresentation
bin100110001110000…
…100001111000000
31122200120102121222
4212032010033000
52303123042233
6143343334212
721614202431
oct4616041700
91580512558
10641221568
112a9a53289
1215a8b1368
13a2acc460
1461237488
153b461898
hex263843c0

641221568 has 56 divisors (see below), whose sum is σ = 1373440992. Its totient is φ = 295271424.

The previous prime is 641221549. The next prime is 641221579. The reversal of 641221568 is 865122146.

It is a super-2 number, since 2×6412215682 = 822330198536757248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662621 + ... + 663587.

It is an arithmetic number, because the mean of its divisors is an integer number (24525732).

Almost surely, 2641221568 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 641221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686720496).

641221568 is an abundant number, since it is smaller than the sum of its proper divisors (732219424).

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

641221568 is a wasteful number, since it uses less digits than its factorization.

641221568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1779 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 641221568 is about 25322.3531292019. The cubic root of 641221568 is about 862.3218168080.

The spelling of 641221568 in words is "six hundred forty-one million, two hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 797 832 967 1594 1934 3188 3868 6376 7736 10361 12571 12752 15472 20722 25142 25504 30944 41444 50284 51008 61888 82888 100568 165776 201136 331552 402272 663104 770699 804544 1541398 3082796 6165592 10019087 12331184 20038174 24662368 40076348 49324736 80152696 160305392 320610784 641221568