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4863234096 = 2432716329599
BaseRepresentation
bin1001000011101111…
…10001000000110000
3110112221000220000100
410201313301000300
534424441442341
62122323552400
7231341544030
oct44167610060
913487026010
104863234096
112076194836
12b3882b700
135c6714616
14341c5d8c0
151d6e3d3b6
hex121df1030

4863234096 has 120 divisors (see below), whose sum is σ = 15650585600. Its totient is φ = 1380924288.

The previous prime is 4863234071. The next prime is 4863234097. The reversal of 4863234096 is 6904323684.

4863234096 is a `hidden beast` number, since 4 + 8 + 632 + 3 + 4 + 0 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4863234097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149505 + ... + 179103.

Almost surely, 24863234096 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 4863234096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825292800).

4863234096 is an abundant number, since it is smaller than the sum of its proper divisors (10787351504).

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

4863234096 is a wasteful number, since it uses less digits than its factorization.

4863234096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29783 (or 29774 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4863234096 is about 69736.8919295949. The cubic root of 4863234096 is about 1694.2404971744.

It can be divided in two parts, 48632 and 34096, that added together give a palindrome (82728).

The spelling of 4863234096 in words is "four billion, eight hundred sixty-three million, two hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 326 336 489 504 652 978 1008 1141 1304 1467 1956 2282 2608 2934 3423 3912 4564 5868 6846 7824 9128 10269 11736 13692 18256 20538 23472 27384 29599 41076 54768 59198 82152 88797 118396 164304 177594 207193 236792 266391 355188 414386 473584 532782 621579 710376 828772 1065564 1243158 1420752 1657544 1864737 2131128 2486316 3315088 3729474 4262256 4824637 4972632 7458948 9649274 9945264 14473911 14917896 19298548 28947822 29835792 33772459 38597096 43421733 57895644 67544918 77194192 86843466 101317377 115791288 135089836 173686932 202634754 231582576 270179672 303952131 347373864 405269508 540359344 607904262 694747728 810539016 1215808524 1621078032 2431617048 4863234096