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85382287232 = 271167905087
BaseRepresentation
bin100111110000100101…
…1100100111110000000
322011101102211121001112
41033201023210332000
52344330331142412
6103120222422452
76111565316054
oct1174113447600
9264342747045
1085382287232
1133235091150
121466a431a28
138089242968
1441bd90dc64
15234ac8a722
hex13e12e4f80

85382287232 has 64 divisors (see below), whose sum is σ = 188330711040. Its totient is φ = 38230832640.

The previous prime is 85382287231. The next prime is 85382287259. The reversal of 85382287232 is 23278228358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85382287231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358208 + ... + 546879.

It is an arithmetic number, because the mean of its divisors is an integer number (2942667360).

Almost surely, 285382287232 is an apocalyptic number.

It is an amenable number.

85382287232 is an abundant number, since it is smaller than the sum of its proper divisors (102948423808).

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

85382287232 is a wasteful number, since it uses less digits than its factorization.

85382287232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905179 (or 905167 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The spelling of 85382287232 in words is "eighty-five billion, three hundred eighty-two million, two hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 536 704 737 1072 1408 1474 2144 2948 4288 5896 8576 11792 23584 47168 94336 905087 1810174 3620348 7240696 9955957 14481392 19911914 28962784 39823828 57925568 60640829 79647656 115851136 121281658 159295312 242563316 318590624 485126632 637181248 667049119 970253264 1274362496 1334098238 1940506528 2668196476 3881013056 5336392952 7762026112 10672785904 21345571808 42691143616 85382287232