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189110016 = 2832211389
BaseRepresentation
bin10110100010110…
…01011100000000
3111011211210011200
423101121130000
5341403010031
630433141200
74454260104
oct1321313400
9434753150
10189110016
1197825177
12533ba800
1330243624
141b189904
15119078e6
hexb459700

189110016 has 108 divisors (see below), whose sum is σ = 549243240. Its totient is φ = 62576640.

The previous prime is 189110003. The next prime is 189110017. The reversal of 189110016 is 610011981.

189110016 = 3342 + 3352 + ... + 8452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485950 + ... + 486338.

Almost surely, 2189110016 is an apocalyptic number.

189110016 is a gapful number since it is divisible by the number (16) 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 189110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274621620).

189110016 is an abundant number, since it is smaller than the sum of its proper divisors (360133224).

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

189110016 is a wasteful number, since it uses less digits than its factorization.

189110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 189110016 is about 13751.7277459961. The cubic root of 189110016 is about 573.9906840463.

Adding to 189110016 its reverse (610011981), we get a palindrome (799121997).

The spelling of 189110016 in words is "one hundred eighty-nine million, one hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 389 422 576 633 768 778 844 1152 1167 1266 1556 1688 1899 2304 2334 2532 3112 3376 3501 3798 4668 5064 6224 6752 7002 7596 9336 10128 12448 13504 14004 15192 18672 20256 24896 27008 28008 30384 37344 40512 49792 54016 56016 60768 74688 81024 82079 99584 112032 121536 149376 162048 164158 224064 243072 246237 298752 328316 448128 486144 492474 656632 738711 896256 984948 1313264 1477422 1969896 2626528 2954844 3939792 5253056 5909688 7879584 10506112 11819376 15759168 21012224 23638752 31518336 47277504 63036672 94555008 189110016