Search a number
-
+
12171763904 = 2617371372207
BaseRepresentation
bin10110101010111111…
…00110000011000000
31011102021022200010112
423111133212003000
5144411432421104
65331443050452
7610425200066
oct132537460300
934367280115
1012171763904
115186709413
122438370a28
1311bc913981
14836770036
154b389d86e
hex2d57e60c0

12171763904 has 112 divisors (see below), whose sum is σ = 26469027072. Its totient is φ = 5529894912.

The previous prime is 12171763883. The next prime is 12171763909. The reversal of 12171763904 is 40936717121.

It is not an unprimeable number, because it can be changed into a prime (12171763909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5513969 + ... + 5516175.

Almost surely, 212171763904 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 12171763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234513536).

12171763904 is an abundant number, since it is smaller than the sum of its proper divisors (14297263168).

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

12171763904 is a wasteful number, since it uses less digits than its factorization.

12171763904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The spelling of 12171763904 in words is "twelve billion, one hundred seventy-one million, seven hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 137 148 272 274 296 544 548 592 629 1088 1096 1184 1258 2192 2207 2329 2368 2516 4384 4414 4658 5032 5069 8768 8828 9316 10064 10138 17656 18632 20128 20276 35312 37264 37519 40256 40552 70624 74528 75038 81104 81659 86173 141248 149056 150076 162208 163318 172346 300152 302359 324416 326636 344692 600304 604718 653272 689384 1200608 1209436 1306544 1378768 1388203 2401216 2418872 2613088 2757536 2776406 4837744 5140103 5226176 5515072 5552812 9675488 10280206 11105624 11187283 19350976 20560412 22211248 22374566 41120824 44422496 44749132 82241648 88844992 89498264 164483296 178996528 190183811 328966592 357993056 380367622 715986112 760735244 1521470488 3042940976 6085881952 12171763904