Search a number
-
+
585228780011330 = 257132327961241281
BaseRepresentation
bin1000010100010000110011000…
…1100010110111111101000010
32211202010022202220111112111122
42011010030301202313331002
51103201342020140330310
65432402220124312242
7234161245506054110
oct20504146142677502
92752108686445448
10585228780011330
1115a52114a4850a4
12557793123a2682
131c171ab62cba20
14a47331cc6cab0
15479d22496d555
hex21443318b7f42

585228780011330 has 64 divisors (see below), whose sum is σ = 1352876698188288. Its totient is φ = 177162424750080.

The previous prime is 585228780011327. The next prime is 585228780011347. The reversal of 585228780011330 is 33110087822585.

It is a happy number.

It is a super-3 number, since 3×5852287800113303 (a number of 45 digits) contains 333 as substring.

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, 13980599711 + ... + 13980641570.

It is an arithmetic number, because the mean of its divisors is an integer number (21138698409192).

Almost surely, 2585228780011330 is an apocalyptic number.

585228780011330 is an abundant number, since it is smaller than the sum of its proper divisors (767647918176958).

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

585228780011330 is a wasteful number, since it uses less digits than its factorization.

585228780011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27961241331.

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 585228780011330 in words is "five hundred eighty-five trillion, two hundred twenty-eight billion, seven hundred eighty million, eleven thousand, three hundred thirty".

Divisors: 1 2 5 7 10 13 14 23 26 35 46 65 70 91 115 130 161 182 230 299 322 455 598 805 910 1495 1610 2093 2990 4186 10465 20930 27961241281 55922482562 139806206405 195728688967 279612412810 363496136653 391457377934 643108549463 726992273306 978643444835 1286217098926 1817480683265 1957286889670 2544472956571 3215542747315 3634961366530 4501759846241 5088945913142 6431085494630 8360411143019 9003519692482 12722364782855 16720822286038 22508799231205 25444729565710 41802055715095 45017598462410 58522878001133 83604111430190 117045756002266 292614390005665 585228780011330