Search a number
-
+
505532406264 = 233534195691667
BaseRepresentation
bin1110101101101000001…
…01000101100111111000
31210022212102102001220020
413112310011011213320
531240312244000024
61024123253530440
751344364360564
oct7266405054770
91708772361806
10505532406264
11185438956186
1281b85943a20
1338896399a52
141a679cb46a4
15d23b6a4979
hex75b41459f8

505532406264 has 128 divisors (see below), whose sum is σ = 1293794208000. Its totient is φ = 164548127744.

The previous prime is 505532406233. The next prime is 505532406283. The reversal of 505532406264 is 462604235505.

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, 303257959 + ... + 303259625.

It is an arithmetic number, because the mean of its divisors is an integer number (10107767250).

Almost surely, 2505532406264 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 505532406264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646897104000).

505532406264 is an abundant number, since it is smaller than the sum of its proper divisors (788261801736).

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

505532406264 is a wasteful number, since it uses less digits than its factorization.

505532406264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 505532406264 in words is "five hundred five billion, five hundred thirty-two million, four hundred six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 419 424 569 636 838 1138 1257 1272 1667 1676 1707 2276 2514 3334 3352 3414 4552 5001 5028 6668 6828 10002 10056 13336 13656 20004 22207 30157 40008 44414 60314 66621 88351 88828 90471 120628 133242 176702 177656 180942 238411 241256 265053 266484 353404 361884 476822 530106 532968 698473 706808 715233 723768 948523 953644 1060212 1396946 1430466 1897046 1907288 2095419 2120424 2793892 2845569 2860932 3794092 4190838 5587784 5691138 5721864 7588184 8381676 11382276 12635783 16763352 22764552 25271566 37019069 37907349 50271719 50543132 74038138 75814698 100543438 101086264 111057207 148076276 150815157 151629396 201086876 222114414 296152552 301630314 303258792 397431137 402173752 444228828 603260628 794862274 888457656 1192293411 1206521256 1589724548 2384586822 3179449096 4769173644 9538347288 21063850261 42127700522 63191550783 84255401044 126383101566 168510802088 252766203132 505532406264