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4864800468 = 2231158496301
BaseRepresentation
bin1001000011111011…
…01111011011010100
3110120000222110200010
410201331233123110
534430342103333
62122421320220
7231361056513
oct44175573324
913500873603
104864800468
112077064660
12b39266070
135c6b42578
1434214a67a
151d714c563
hex121f6f6d4

4864800468 has 48 divisors (see below), whose sum is σ = 12387211200. Its totient is φ = 1473696000.

The previous prime is 4864800467. The next prime is 4864800491. The reversal of 4864800468 is 8640084684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864800467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768918 + ... + 775218.

It is an arithmetic number, because the mean of its divisors is an integer number (258066900).

Almost surely, 24864800468 is an apocalyptic number.

It is an amenable number.

4864800468 is an abundant number, since it is smaller than the sum of its proper divisors (7522410732).

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

4864800468 is a wasteful number, since it uses less digits than its factorization.

4864800468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 4864800468 is about 69748.1216091158. The cubic root of 4864800468 is about 1694.4223738130.

The spelling of 4864800468 in words is "four billion, eight hundred sixty-four million, eight hundred thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 5849 6301 11698 12602 17547 18903 23396 25204 35094 37806 64339 69311 70188 75612 128678 138622 193017 207933 257356 277244 386034 415866 772068 831732 36854549 73709098 110563647 147418196 221127294 405400039 442254588 810800078 1216200117 1621600156 2432400234 4864800468