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8638130868 = 22311318473449
BaseRepresentation
bin10000000101101111…
…10110101010110100
3211022000011111212220
420002313312222310
5120142330141433
63545053042340
7424026621003
oct100267665264
924260144786
108638130868
113732aaa634
121810a863b0
13a787cc853
145bd338c3a
1535854b2b3
hex202df6ab4

8638130868 has 48 divisors (see below), whose sum is σ = 20350915200. Its totient is φ = 2851523584.

The previous prime is 8638130867. The next prime is 8638130869. The reversal of 8638130868 is 8680318368.

8638130868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8638130867) and next prime (8638130869).

It is a self number, because there is not a number n which added to its sum of digits gives 8638130868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638130867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502808 + ... + 2506256.

It is an arithmetic number, because the mean of its divisors is an integer number (423977400).

Almost surely, 28638130868 is an apocalyptic number.

It is an amenable number.

8638130868 is an abundant number, since it is smaller than the sum of its proper divisors (11712784332).

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

8638130868 is a wasteful number, since it uses less digits than its factorization.

8638130868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 8638130868 is about 92941.5454358276. The cubic root of 8638130868 is about 2051.8231544718.

The spelling of 8638130868 in words is "eight billion, six hundred thirty-eight million, one hundred thirty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 1847 3449 3694 5541 6898 7388 10347 11082 13796 20694 22164 41388 208711 389737 417422 626133 779474 834844 1169211 1252266 1558948 2338422 2504532 4676844 6370303 12740606 19110909 25481212 38221818 76443636 719844239 1439688478 2159532717 2879376956 4319065434 8638130868