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4129191066 = 2371121362501
BaseRepresentation
bin1111011000011110…
…0111010010011010
3101122202210122021110
43312013213102122
531424033103231
61521422521150
7204216354630
oct36607472232
911582718243
104129191066
111829903400
12972a361b6
1350a615c30
142b2583350
15192794046
hexf61e749a

4129191066 has 96 divisors (see below), whose sum is σ = 11172357504. Its totient is φ = 990000000.

The previous prime is 4129191019. The next prime is 4129191067. The reversal of 4129191066 is 6601919214.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4129191067) 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, 34816 + ... + 97316.

It is an arithmetic number, because the mean of its divisors is an integer number (116378724).

Almost surely, 24129191066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129191066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586178752).

4129191066 is an abundant number, since it is smaller than the sum of its proper divisors (7043166438).

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

4129191066 is a wasteful number, since it uses less digits than its factorization.

4129191066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62548 (or 62537 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 4129191066 is about 64258.7820146009. The cubic root of 4129191066 is about 1604.3101321849.

The spelling of 4129191066 in words is "four billion, one hundred twenty-nine million, one hundred ninety-one thousand, sixty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 62501 66066 125002 187503 375006 437507 687511 812513 875014 1312521 1375022 1625026 2062533 2437539 2625042 4125066 4812577 4875078 5687591 7562621 8937643 9625154 11375182 14437731 15125242 17062773 17875286 22687863 26812929 28875462 34125546 45375726 52938347 53625858 62563501 98314073 105876694 125127002 158815041 187690503 196628146 294942219 317630082 375381006 589884438 688198511 1376397022 2064595533 4129191066