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4112166520 = 23571110113219
BaseRepresentation
bin1111010100011010…
…1010111001111000
3101121120202200222201
43311012222321320
531410203312040
61520013555544
7203621560450
oct36506527170
911546680881
104112166520
111820235630
129691a5bb4
13506c34c37
142b01d0d60
1519102ea9a
hexf51aae78

4112166520 has 128 divisors (see below), whose sum is σ = 11650521600. Its totient is φ = 1268928000.

The previous prime is 4112166469. The next prime is 4112166547. The reversal of 4112166520 is 256612114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304471 + ... + 317689.

It is an arithmetic number, because the mean of its divisors is an integer number (91019700).

Almost surely, 24112166520 is an apocalyptic number.

4112166520 is a gapful number since it is divisible by the number (40) 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 4112166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825260800).

4112166520 is an abundant number, since it is smaller than the sum of its proper divisors (7538355080).

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

4112166520 is a wasteful number, since it uses less digits than its factorization.

4112166520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13349 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4112166520 is about 64126.1765584071. The cubic root of 4112166520 is about 1602.1022522499.

Adding to 4112166520 its reverse (256612114), we get a palindrome (4368778634).

The spelling of 4112166520 in words is "four billion, one hundred twelve million, one hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4444 5555 5656 7070 7777 8888 11110 13219 14140 15554 22220 26438 28280 31108 38885 44440 52876 62216 66095 77770 92533 105752 132190 145409 155540 185066 264380 290818 311080 370132 462665 528760 581636 727045 740264 925330 1017863 1163272 1335119 1454090 1850660 2035726 2670238 2908180 3701320 4071452 5089315 5340476 5816360 6675595 8142904 9345833 10178630 10680952 13351190 14686309 18691666 20357260 26702380 29372618 37383332 40714520 46729165 53404760 58745236 73431545 74766664 93458330 102804163 117490472 146863090 186916660 205608326 293726180 373833320 411216652 514020815 587452360 822433304 1028041630 2056083260 4112166520