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4853212416 = 28331354011
BaseRepresentation
bin1001000010100011…
…00010010100000000
3110112020011201212000
410201101202110000
534414410244131
62121325104000
7231160424223
oct44121422400
913466151760
104853212416
11207056a358
12b353b8000
135c4615c30
143407b15ba
151d610dce6
hex121462500

4853212416 has 144 divisors (see below), whose sum is σ = 15456073920. Its totient is φ = 1493268480.

The previous prime is 4853212391. The next prime is 4853212421. The reversal of 4853212416 is 6142123584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62851 + ... + 116861.

Almost surely, 24853212416 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 4853212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728036960).

4853212416 is an abundant number, since it is smaller than the sum of its proper divisors (10602861504).

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

4853212416 is a wasteful number, since it uses less digits than its factorization.

4853212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54049 (or 54029 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4853212416 is about 69665.0013708462. The cubic root of 4853212416 is about 1693.0759214946.

The spelling of 4853212416 in words is "four billion, eight hundred fifty-three million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 54011 89856 108022 162033 216044 324066 432088 486099 648132 702143 864176 972198 1296264 1404286 1458297 1728352 1944396 2106429 2592528 2808572 2916594 3456704 3888792 4212858 5185056 5617144 5833188 6319287 6913408 7777584 8425716 10370112 11234288 11666376 12638574 13826816 15555168 16851432 18957861 20740224 22468576 23332752 25277148 31110336 33702864 37915722 41480448 44937152 46665504 50554296 62220672 67405728 75831444 89874304 93331008 101108592 124441344 134811456 151662888 179748608 186662016 202217184 269622912 303325776 373324032 404434368 539245824 606651552 808868736 1213303104 1617737472 2426606208 4853212416