Search a number
-
+
86154890928 = 24371163715443
BaseRepresentation
bin101000000111100111…
…0110100111010110000
322020101021121221002020
41100033032310322300
52402421123002203
6103325022151440
76136666330011
oct1201716647260
9266337557066
1086154890928
11335a120a7a7
1214845122580
138180322a02
144254387008
152393a00153
hex140f3b4eb0

86154890928 has 80 divisors (see below), whose sum is σ = 225854044416. Its totient is φ = 28294685440.

The previous prime is 86154890911. The next prime is 86154890959. The reversal of 86154890928 is 82909845168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5571175 + ... + 5586617.

Almost surely, 286154890928 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 86154890928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112927022208).

86154890928 is an abundant number, since it is smaller than the sum of its proper divisors (139699153488).

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

86154890928 is a wasteful number, since it uses less digits than its factorization.

86154890928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17162 (or 17156 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 86154890928 in words is "eighty-six billion, one hundred fifty-four million, eight hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1637 1704 3274 3408 4911 6548 9822 13096 15443 19644 26192 30886 39288 46329 61772 78576 92658 116227 123544 185316 232454 247088 348681 370632 464908 697362 741264 929816 1096453 1394724 1859632 2192906 2789448 3289359 4385812 5578896 6578718 8771624 13157436 17543248 25280191 26314872 50560382 52629744 75840573 101120764 151681146 202241528 303362292 404483056 606724584 1213449168 1794893561 3589787122 5384680683 7179574244 10769361366 14359148488 21538722732 28718296976 43077445464 86154890928