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641367636 = 2237131734549
BaseRepresentation
bin100110001110100…
…111111001010100
31122200211211222220
4212032213321110
52303142231021
6143350422340
721615351330
oct4616477124
91580754886
10641367636
112aa042aa8
1215a9619b0
13a2b50aa0
14612747c0
153b48ecc6
hex263a7e54

641367636 has 96 divisors (see below), whose sum is σ = 1950278400. Its totient is φ = 159197184.

The previous prime is 641367631. The next prime is 641367641. The reversal of 641367636 is 636763146.

It is an interprime number because it is at equal distance from previous prime (641367631) and next prime (641367641).

It is a super-2 number, since 2×6413676362 = 822704889016456992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641367631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290 + ... + 35838.

It is an arithmetic number, because the mean of its divisors is an integer number (20315400).

Almost surely, 2641367636 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 641367636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975139200).

641367636 is an abundant number, since it is smaller than the sum of its proper divisors (1308910764).

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

641367636 is a wasteful number, since it uses less digits than its factorization.

641367636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34593 (or 34591 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 641367636 is about 25325.2371361060. The cubic root of 641367636 is about 862.3872897877.

The spelling of 641367636 in words is "six hundred forty-one million, three hundred sixty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 9282 18564 34549 69098 103647 138196 207294 241843 414588 449137 483686 587333 725529 898274 967372 1174666 1347411 1451058 1761999 1796548 2349332 2694822 2902116 3143959 3523998 4111331 5389644 6287918 7047996 7635329 8222662 9431877 12333993 12575836 15270658 16445324 18863754 22905987 24667986 30541316 37727508 45811974 49335972 53447303 91623948 106894606 160341909 213789212 320683818 641367636