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189808851568 = 247358812
BaseRepresentation
bin1011000011000101111…
…1010011101001110000
3200010221002211201000111
42300301133103221300
511102212031222233
6223110314231104
716466432422000
oct2606137235160
9603832751014
10189808851568
117355216a586
1230952725494
1314b8bb5662b
149288802000
154e0d909acd
hex2c317d3a70

189808851568 has 60 divisors (see below), whose sum is σ = 428941333200. Its totient is φ = 81332818560.

The previous prime is 189808851563. The next prime is 189808851569. The reversal of 189808851568 is 865158808981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

189808851568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189808851563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32271988 + ... + 32277868.

It is an arithmetic number, because the mean of its divisors is an integer number (7149022220).

Almost surely, 2189808851568 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 189808851568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214470666600).

189808851568 is an abundant number, since it is smaller than the sum of its proper divisors (239132481632).

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

189808851568 is an frugal number, since it uses more digits than its factorization.

189808851568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791 (or 5890 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 67.

The spelling of 189808851568 in words is "one hundred eighty-nine billion, eight hundred eight million, eight hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 5881 11762 23524 41167 47048 82334 94096 164668 288169 329336 576338 658672 1152676 2017183 2305352 4034366 4610704 8068732 16137464 32274928 34586161 69172322 138344644 242103127 276689288 484206254 553378576 968412508 1694721889 1936825016 3389443778 3873650032 6778887556 11863053223 13557775112 23726106446 27115550224 47452212892 94904425784 189808851568