Search a number
-
+
4474875966 = 2311217536841
BaseRepresentation
bin1000010101011100…
…10011000000111110
3102112212021020210220
410022232103000332
533131032012331
62020012042210
7215614550421
oct41256230076
912485236726
104474875966
111996a50600
12a4a763366
1356411b002
143064499b8
151b2cc9296
hex10ab9303e

4474875966 has 96 divisors (see below), whose sum is σ = 10614076704. Its totient is φ = 1251993600.

The previous prime is 4474875919. The next prime is 4474875971. The reversal of 4474875966 is 6695784744.

It is a super-2 number, since 2×44748759662 = 40049029822168866312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650706 + ... + 657546.

It is an arithmetic number, because the mean of its divisors is an integer number (110563299).

Almost surely, 24474875966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4474875966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307038352).

4474875966 is an abundant number, since it is smaller than the sum of its proper divisors (6139200738).

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

4474875966 is a wasteful number, since it uses less digits than its factorization.

4474875966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6927 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The square root of 4474875966 is about 66894.5137212313. The cubic root of 4474875966 is about 1647.8853799752.

The spelling of 4474875966 in words is "four billion, four hundred seventy-four million, eight hundred seventy-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 121 159 187 242 318 363 374 561 583 726 901 1122 1166 1749 1802 2057 2703 3498 4114 5406 6171 6413 6841 9911 12342 12826 13682 19239 19822 20523 29733 38478 41046 59466 75251 109021 116297 150502 218042 225753 232594 327063 348891 362573 451506 654126 697782 725146 827761 1087719 1279267 1655522 2175438 2483283 2558534 3837801 3988303 4966566 6163741 7675602 7976606 11964909 12327482 14071937 18491223 23929818 28143874 36982446 42215811 43871333 67801151 84431622 87742666 131613999 135602302 203403453 263227998 406806906 745812661 1491625322 2237437983 4474875966