Search a number
-
+
289200034860 = 223511438181871
BaseRepresentation
bin1000011010101011010…
…10100101010000101100
31000122110211212221202020
410031111222211100230
514214240202103420
6340505012230140
726615434510452
oct4152552452054
91018424787666
10289200034860
11101715975680
124807060b350
132136b4a13a9
14ddd6a629d2
1577c9484340
hex4355aa542c

289200034860 has 48 divisors (see below), whose sum is σ = 883374653952. Its totient is φ = 70109099200.

The previous prime is 289200034841. The next prime is 289200034897. The reversal of 289200034860 is 68430002982.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 219090276 + ... + 219091595.

It is an arithmetic number, because the mean of its divisors is an integer number (18403638624).

Almost surely, 2289200034860 is an apocalyptic number.

289200034860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289200034860 is an abundant number, since it is smaller than the sum of its proper divisors (594174619092).

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

289200034860 is a wasteful number, since it uses less digits than its factorization.

289200034860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438181894 (or 438181892 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 289200034860 in words is "two hundred eighty-nine billion, two hundred million, thirty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 438181871 876363742 1314545613 1752727484 2190909355 2629091226 4381818710 4820000581 5258182452 6572728065 8763637420 9640001162 13145456130 14460001743 19280002324 24100002905 26290912260 28920003486 48200005810 57840006972 72300008715 96400011620 144600017430 289200034860