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643938036 = 223717597643
BaseRepresentation
bin100110011000011…
…011011011110100
31122212200102220220
4212120123123310
52304322004121
6143521454340
721646245240
oct4630333364
91585612826
10643938036
113005391a5
1215b7a13b0
13a3540a31
1461743420
153b7eb6c6
hex2661b6f4

643938036 has 96 divisors (see below), whose sum is σ = 1849236480. Its totient is φ = 170202624.

The previous prime is 643938013. The next prime is 643938049. The reversal of 643938036 is 630839346.

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

It is a congruent number.

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, 80431 + ... + 88073.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2643938036 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 643938036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

643938036 is an abundant number, since it is smaller than the sum of its proper divisors (1205298444).

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

643938036 is a wasteful number, since it uses less digits than its factorization.

643938036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7733 (or 7731 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 643938036 is about 25375.9341897003. The cubic root of 643938036 is about 863.5378132880.

The spelling of 643938036 in words is "six hundred forty-three million, nine hundred thirty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 84 102 118 119 177 204 236 238 354 357 413 476 708 714 826 1003 1239 1428 1652 2006 2478 3009 4012 4956 6018 7021 7643 12036 14042 15286 21063 22929 28084 30572 42126 45858 53501 84252 91716 107002 129931 160503 214004 259862 321006 389793 450937 519724 642012 779586 901874 909517 1352811 1559172 1803748 1819034 2705622 2728551 3156559 3638068 5411244 5457102 6313118 7665929 9469677 10914204 12626236 15331858 18939354 22997787 30663716 37878708 45995574 53661503 91991148 107323006 160984509 214646012 321969018 643938036