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4106163060 = 22325373971553
BaseRepresentation
bin1111010010111111…
…0001001101110100
3101121011110200210100
43310233301031310
531402134204220
61515241154100
7203516544606
oct36457611564
911534420710
104106163060
11181790509a
1296718b930
135059124ac
142ad4ab176
15190745d90
hexf4bf1374

4106163060 has 144 divisors (see below), whose sum is σ = 12832472016. Its totient is φ = 1062014976.

The previous prime is 4106163049. The next prime is 4106163071. The reversal of 4106163060 is 603616014.

4106163060 is a `hidden beast` number, since 4 + 10 + 616 + 30 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4106163049) and next prime (4106163071).

It can be written as a sum of positive squares in 8 ways, for example, as 685584 + 4105477476 = 828^2 + 64074^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643244 + ... + 2644796.

It is an arithmetic number, because the mean of its divisors is an integer number (89114389).

Almost surely, 24106163060 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 4106163060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416236008).

4106163060 is an abundant number, since it is smaller than the sum of its proper divisors (8726308956).

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

4106163060 is a wasteful number, since it uses less digits than its factorization.

4106163060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4106163060 is about 64079.3497158016. The cubic root of 4106163060 is about 1601.3222221336.

Adding to 4106163060 its reverse (603616014), we get a palindrome (4709779074).

The spelling of 4106163060 in words is "four billion, one hundred six million, one hundred sixty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 397 444 555 666 740 794 1110 1191 1332 1553 1588 1665 1985 2220 2382 3106 3330 3573 3970 4659 4764 5955 6212 6660 7146 7765 7940 9318 11910 13977 14292 14689 15530 17865 18636 23295 23820 27954 29378 31060 35730 44067 46590 55908 57461 58756 69885 71460 73445 88134 93180 114922 132201 139770 146890 172383 176268 220335 229844 264402 279540 287305 293780 344766 440670 517149 528804 574610 616541 661005 689532 861915 881340 1034298 1149220 1233082 1322010 1723830 1849623 2068596 2466164 2585745 2644020 3082705 3447660 3699246 5171490 5548869 6165410 7398492 9248115 10342980 11097738 12330820 18496230 22195476 22812017 27744345 36992460 45624034 55488690 68436051 91248068 110977380 114060085 136872102 205308153 228120170 273744204 342180255 410616306 456240340 684360510 821232612 1026540765 1368721020 2053081530 4106163060