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638133636 = 223731269911
BaseRepresentation
bin100110000010010…
…010010110000100
31122110202112210010
4212002102112010
52301330234021
6143153230220
721546021630
oct4602222604
91573675703
10638133636
112a8234278
12159862370
13a228aa8a
1460a71dc0
153b051976
hex26092584

638133636 has 96 divisors (see below), whose sum is σ = 1765048320. Its totient is φ = 175593600.

The previous prime is 638133611. The next prime is 638133647. The reversal of 638133636 is 636331836.

It is a junction number, because it is equal to n+sod(n) for n = 638133594 and 638133603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700021 + ... + 700931.

It is an arithmetic number, because the mean of its divisors is an integer number (18385920).

Almost surely, 2638133636 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 638133636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882524160).

638133636 is an abundant number, since it is smaller than the sum of its proper divisors (1126914684).

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

638133636 is a wasteful number, since it uses less digits than its factorization.

638133636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 638133636 is about 25261.3070920727. The cubic root of 638133636 is about 860.9353605288.

The spelling of 638133636 in words is "six hundred thirty-eight million, one hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 269 372 434 538 651 807 868 911 1076 1302 1614 1822 1883 2604 2733 3228 3644 3766 5466 5649 6377 7532 8339 10932 11298 12754 16678 19131 22596 25017 25508 28241 33356 38262 50034 56482 58373 76524 84723 100068 112964 116746 169446 175119 197687 233492 245059 338892 350238 395374 490118 593061 700476 735177 790748 980236 1186122 1470354 1715413 2372244 2940708 3430826 5146239 6861652 7596829 10292478 15193658 20584956 22790487 30387316 45580974 53177803 91161948 106355606 159533409 212711212 319066818 638133636