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4875770020 = 22511241157313
BaseRepresentation
bin1001000101001111…
…00101100010100100
3110120210121210001211
410202213211202210
534441144120040
62123452401204
7231553234642
oct44247454244
913523553054
104875770020
112082277200
12b40a76204
135c91b3524
143437a4192
151d80b78ea
hex1229e58a4

4875770020 has 144 divisors (see below), whose sum is σ = 11639570544. Its totient is φ = 1713254400.

The previous prime is 4875769981. The next prime is 4875770021. The reversal of 4875770020 is 200775784.

It can be written as a sum of positive squares in 8 ways, for example, as 2569273344 + 2306496676 = 50688^2 + 48026^2 .

It is not an unprimeable number, because it can be changed into a prime (4875770021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15577384 + ... + 15577696.

It is an arithmetic number, because the mean of its divisors is an integer number (80830351).

Almost surely, 24875770020 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 4875770020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819785272).

4875770020 is an abundant number, since it is smaller than the sum of its proper divisors (6763800524).

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

4875770020 is a wasteful number, since it uses less digits than its factorization.

4875770020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 4875770020 is about 69826.7142288680. The cubic root of 4875770020 is about 1695.6949920425.

The spelling of 4875770020 in words is "four billion, eight hundred seventy-five million, seven hundred seventy thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 157 164 205 220 242 313 314 410 451 484 605 626 628 785 820 902 1210 1252 1565 1570 1727 1804 2255 2420 3130 3140 3443 3454 4510 4961 6260 6437 6886 6908 8635 9020 9922 12833 12874 13772 17215 17270 18997 19844 24805 25666 25748 32185 34430 34540 37873 37994 49141 49610 51332 64165 64370 68860 70807 75746 75988 94985 98282 99220 128330 128740 141163 141614 151492 189365 189970 196564 245705 256660 282326 283228 354035 378730 379940 491410 540551 564652 705815 708070 757460 778877 982820 1081102 1411630 1416140 1552793 1557754 2014781 2162204 2702755 2823260 3105586 3115508 3894385 4029562 5405510 5946061 6211172 7763965 7788770 8059124 10073905 10811020 11892122 15527930 15577540 20147810 22162591 23784244 29730305 31055860 40295620 44325182 59460610 88650364 110812955 118921220 221625910 243788501 443251820 487577002 975154004 1218942505 2437885010 4875770020