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2188070016 = 27311547947
BaseRepresentation
bin1000001001101011…
…0100110010000000
312122111020110210020
42002122310302000
513440121220031
61001041533440
7105136200606
oct20232646200
95574213706
102188070016
11a23121430
12510944280
1328b4154b2
1416a853876
15cc162096
hex826b4c80

2188070016 has 128 divisors (see below), whose sum is σ = 6358728960. Its totient is φ = 661140480.

The previous prime is 2188070009. The next prime is 2188070041. The reversal of 2188070016 is 6100708812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2310055 + ... + 2311001.

It is an arithmetic number, because the mean of its divisors is an integer number (49677570).

Almost surely, 22188070016 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 2188070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179364480).

2188070016 is an abundant number, since it is smaller than the sum of its proper divisors (4170658944).

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

2188070016 is a wasteful number, since it uses less digits than its factorization.

2188070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 2188070016 is about 46776.8106651148. The cubic root of 2188070016 is about 1298.2362701358.

Adding to 2188070016 its reverse (6100708812), we get a palindrome (8288778828).

The spelling of 2188070016 in words is "two billion, one hundred eighty-eight million, seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 547 704 947 1056 1094 1408 1641 1894 2112 2188 2841 3282 3788 4224 4376 5682 6017 6564 7576 8752 10417 11364 12034 13128 15152 17504 18051 20834 22728 24068 26256 30304 31251 35008 36102 41668 45456 48136 52512 60608 62502 70016 72204 83336 90912 96272 105024 121216 125004 144408 166672 181824 192544 210048 250008 288816 333344 363648 385088 500016 518009 577632 666688 770176 1000032 1036018 1155264 1333376 1554027 2000064 2072036 2310528 3108054 4000128 4144072 5698099 6216108 8288144 11396198 12432216 16576288 17094297 22792396 24864432 33152576 34188594 45584792 49728864 66305152 68377188 91169584 99457728 136754376 182339168 198915456 273508752 364678336 547017504 729356672 1094035008 2188070016