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641472768 = 28321392003
BaseRepresentation
bin100110001111000…
…001100100000000
31122201001012012200
4212033001210000
52303204112033
6143352553200
721616266666
oct4617014400
91581035180
10641472768
112aa104a92
1215a9b2800
13a2b898b1
14612a0c36
153b4b1013
hex263c1900

641472768 has 108 divisors (see below), whose sum is σ = 1863760080. Its totient is φ = 212179968.

The previous prime is 641472763. The next prime is 641472787. The reversal of 641472768 is 867274146.

It is a super-2 number, since 2×6414727682 = 822974624171163648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641472763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319255 + ... + 321257.

Almost surely, 2641472768 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 641472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931880040).

641472768 is an abundant number, since it is smaller than the sum of its proper divisors (1222287312).

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

641472768 is a wasteful number, since it uses less digits than its factorization.

641472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2147 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 641472768 is about 25327.3126880844. The cubic root of 641472768 is about 862.4344076143.

The spelling of 641472768 in words is "six hundred forty-one million, four hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 256 278 288 384 417 556 576 768 834 1112 1152 1251 1668 2003 2224 2304 2502 3336 4006 4448 5004 6009 6672 8012 8896 10008 12018 13344 16024 17792 18027 20016 24036 26688 32048 35584 36054 40032 48072 53376 64096 72108 80064 96144 106752 128192 144216 160128 192288 256384 278417 288432 320256 384576 512768 556834 576864 769152 835251 1113668 1153728 1538304 1670502 2227336 2307456 2505753 3341004 4454672 4614912 5011506 6682008 8909344 10023012 13364016 17818688 20046024 26728032 35637376 40092048 53456064 71274752 80184096 106912128 160368192 213824256 320736384 641472768