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4995384048 = 243510112721
BaseRepresentation
bin1001010011011111…
…11000001011110000
3110220010200210200000
410221233320023300
540212304242143
62143404230000
7234535030614
oct45157701360
913803623600
104995384048
112133844a76
12b74b3b300
13617c03865
1435561d344
151e3843bd3
hex129bf82f0

4995384048 has 120 divisors (see below), whose sum is σ = 14642614896. Its totient is φ = 1648512000.

The previous prime is 4995383977. The next prime is 4995384059. The reversal of 4995384048 is 8404835994.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4995383985 and 4995384003.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 386328 + ... + 399048.

Almost surely, 24995384048 is an apocalyptic number.

4995384048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4995384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321307448).

4995384048 is an abundant number, since it is smaller than the sum of its proper divisors (9647230848).

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

4995384048 is a wasteful number, since it uses less digits than its factorization.

4995384048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 4995384048 is about 70678.0308724005. The cubic root of 4995384048 is about 1709.4495735365.

The spelling of 4995384048 in words is "four billion, nine hundred ninety-five million, three hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 243 303 324 404 432 486 606 648 808 909 972 1212 1296 1616 1818 1944 2424 2727 3636 3888 4848 5454 7272 8181 10908 12721 14544 16362 21816 24543 25442 32724 38163 43632 49086 50884 65448 76326 98172 101768 114489 130896 152652 196344 203536 228978 305304 343467 392688 457956 610608 686934 915912 1030401 1284821 1373868 1831824 2060802 2569642 2747736 3091203 3854463 4121604 5139284 5495472 6182406 7708926 8243208 10278568 11563389 12364812 15417852 16486416 20557136 23126778 24729624 30835704 34690167 46253556 49459248 61671408 69380334 92507112 104070501 138760668 185014224 208141002 277521336 312211503 416282004 555042672 624423006 832564008 1248846012 1665128016 2497692024 4995384048