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189287645232 = 2437331370873
BaseRepresentation
bin1011000001001001101…
…1000100000000110000
3200002120210002200100010
42300102123010000300
511100130114121412
6222542455054520
716450503303000
oct2602233040060
9602523080303
10189287645232
1173304a39544
1230828071440
1314b07b8800a
1492394ca000
154dccca333c
hex2c126c4030

189287645232 has 160 divisors (see below), whose sum is σ = 588651212800. Its totient is φ = 52337456640.

The previous prime is 189287645167. The next prime is 189287645233. The reversal of 189287645232 is 232546782981.

It is not an unprimeable number, because it can be changed into a prime (189287645233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324948 + ... + 695820.

It is an arithmetic number, because the mean of its divisors is an integer number (3679070080).

Almost surely, 2189287645232 is an apocalyptic number.

189287645232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189287645232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294325606400).

189287645232 is an abundant number, since it is smaller than the sum of its proper divisors (399363567568).

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

189287645232 is a wasteful number, since it uses less digits than its factorization.

189287645232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370936 (or 370916 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 189287645232 in words is "one hundred eighty-nine billion, two hundred eighty-seven million, six hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 294 336 343 372 392 434 496 588 651 686 744 784 868 1029 1176 1302 1372 1488 1519 1736 2058 2352 2604 2744 3038 3472 4116 4557 5208 5488 6076 8232 9114 10416 10633 12152 16464 18228 21266 24304 31899 36456 42532 63798 72912 85064 127596 170128 255192 370873 510384 741746 1112619 1483492 2225238 2596111 2966984 4450476 5192222 5933968 7788333 8900952 10384444 11497063 15576666 17801904 18172777 20768888 22994126 31153332 34491189 36345554 41537776 45988252 54518331 62306664 68982378 72691108 80479441 91976504 109036662 124613328 127209439 137964756 145382216 160958882 183953008 218073324 241438323 254418878 275929512 290764432 321917764 381628317 436146648 482876646 508837756 551859024 563356087 643835528 763256634 872293296 965753292 1017675512 1126712174 1287671056 1526513268 1690068261 1931506584 2035351024 2253424348 3053026536 3380136522 3863013168 3943492609 4506848696 6106053072 6760273044 7886985218 9013697392 11830477827 13520546088 15773970436 23660955654 27041092176 31547940872 47321911308 63095881744 94643822616 189287645232