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4823858116 = 2272114412
BaseRepresentation
bin1000111111000011…
…00011101111000100
3110110011221101022201
410133201203233010
534334401424431
62114400004244
7230353055200
oct43741435704
913404841281
104823858116
112055a40000
12b27600684
135bb508b1c
1433a92db00
151d3761461
hex11f863bc4

4823858116 has 135 divisors (see below), whose sum is σ = 11071817085. Its totient is φ = 1833585600.

The previous prime is 4823858099. The next prime is 4823858131. The reversal of 4823858116 is 6118583284.

The square root of 4823858116 is 69454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 232440516 + 4591417600 = 15246^2 + 67760^2 .

Its product of digits (368640) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 117655056 + ... + 117655096.

Almost surely, 24823858116 is an apocalyptic number.

4823858116 is the 69454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4823858116

4823858116 is an abundant number, since it is smaller than the sum of its proper divisors (6247958969).

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

4823858116 is an equidigital number, since it uses as much as digits as its factorization.

4823858116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 61 counting only the distinct ones).

The product of its digits is 368640, while the sum is 46.

The cubic root of 4823858116 is about 1689.6555342894.

The spelling of 4823858116 in words is "four billion, eight hundred twenty-three million, eight hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 41 44 49 77 82 98 121 154 164 196 242 287 308 451 484 539 574 847 902 1078 1148 1331 1681 1694 1804 2009 2156 2662 3157 3362 3388 4018 4961 5324 5929 6314 6724 8036 9317 9922 11767 11858 12628 14641 18491 18634 19844 22099 23534 23716 29282 34727 36982 37268 44198 47068 54571 58564 65219 69454 73964 82369 88396 102487 109142 129437 130438 138908 164738 203401 204974 218284 243089 258874 260876 329476 381997 406802 409948 486178 517748 600281 717409 763994 813604 906059 972356 1200562 1423807 1434818 1527988 1812118 2237411 2401124 2673979 2847614 2869636 3624236 4201967 4474822 5347958 5695228 8403934 8949644 9966649 10695916 15661877 16807868 19933298 24611521 29413769 31323754 39866596 49223042 58827538 62647508 98446084 109633139 117655076 172280647 219266278 344561294 438532556 689122588 1205964529 2411929058 4823858116