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4164638604 = 2237476117293
BaseRepresentation
bin1111100000111011…
…0101011110001100
3101202020111120011020
43320032311132030
532012121413404
61525130354140
7205126562340
oct37016653614
911666446136
104164638604
111847914695
1298288b950
13514a775c9
142b716d620
15195946ed9
hexf83b578c

4164638604 has 96 divisors (see below), whose sum is σ = 11528595456. Its totient is φ = 1145422080.

The previous prime is 4164638587. The next prime is 4164638657. The reversal of 4164638604 is 4068364614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 232182 + ... + 249474.

It is an arithmetic number, because the mean of its divisors is an integer number (120089536).

Almost surely, 24164638604 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 4164638604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764297728).

4164638604 is an abundant number, since it is smaller than the sum of its proper divisors (7363956852).

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

4164638604 is a wasteful number, since it uses less digits than its factorization.

4164638604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17415 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4164638604 is about 64534.0112188914. The cubic root of 4164638604 is about 1608.8878555761.

The spelling of 4164638604 in words is "four billion, one hundred sixty-four million, six hundred thirty-eight thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 61 84 94 122 141 183 188 244 282 329 366 427 564 658 732 854 987 1281 1316 1708 1974 2562 2867 3948 5124 5734 8601 11468 17202 17293 20069 34404 34586 40138 51879 60207 69172 80276 103758 120414 121051 207516 240828 242102 363153 484204 726306 812771 1054873 1452612 1625542 2109746 2438313 3164619 3251084 4219492 4876626 5689397 6329238 7384111 9753252 11378794 12658476 14768222 17068191 22152333 22757588 29536444 34136382 44304666 49579031 68272764 88609332 99158062 148737093 198316124 297474186 347053217 594948372 694106434 1041159651 1388212868 2082319302 4164638604