Search a number
-
+
85789413336 = 2331131393
BaseRepresentation
bin100111111100101110…
…0101000111111011000
322012102210220202002010
41033321130220333120
52401144042211321
6103224444505520
76124640660454
oct1177134507730
9265383822063
1085789413336
1133423984000
121476284b2a0
1381226aa993
14421ba0b664
1523718aa676
hex13f9728fd8

85789413336 has 128 divisors (see below), whose sum is σ = 237614227200. Its totient is φ = 25809764640.

The previous prime is 85789413317. The next prime is 85789413401. The reversal of 85789413336 is 63331498758.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=3058.

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, 617189955 + ... + 617190093.

It is an arithmetic number, because the mean of its divisors is an integer number (1856361150).

Almost surely, 285789413336 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 85789413336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118807113600).

85789413336 is an abundant number, since it is smaller than the sum of its proper divisors (151824813864).

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

85789413336 is an frugal number, since it uses more digits than its factorization.

85789413336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 155 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 85789413336 in words is "eighty-five billion, seven hundred eighty-nine million, four hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 139 242 264 278 363 417 484 556 726 834 968 1112 1331 1452 1529 1668 2662 2904 3058 3336 3993 4587 5324 6116 7986 9174 10648 12232 15972 16819 18348 19321 31944 33638 36696 38642 50457 57963 67276 77284 100914 115926 134552 154568 185009 201828 212531 231852 370018 403656 425062 463704 555027 637593 740036 850124 1110054 1275186 1480072 1700248 2220108 2337841 2550372 2685619 4440216 4675682 5100744 5371238 7013523 8056857 9351364 10742476 14027046 16113714 18702728 21484952 25716251 28054092 29541809 32227428 51432502 56108184 59083618 64454856 77148753 88625427 102865004 118167236 154297506 177250854 205730008 236334472 308595012 324959899 354501708 617190024 649919798 709003416 974879697 1299839596 1949759394 2599679192 3574558889 3899518788 7149117778 7799037576 10723676667 14298235556 21447353334 28596471112 42894706668 85789413336