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2000516616 = 233471725943
BaseRepresentation
bin111011100111101…
…0111011000001000
312011102022202220000
41313033113120020
513044113012431
6530302003000
7100401052650
oct16717273010
95142282800
102000516616
1193726a81a
12479b76460
1325b5c8557
1414d991360
15ba9659e6
hex773d7608

2000516616 has 160 divisors (see below), whose sum is σ = 6780723840. Its totient is φ = 537933312.

The previous prime is 2000516611. The next prime is 2000516621. The reversal of 2000516616 is 6166150002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2000516611) and next prime (2000516621).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2000516616.

It is not an unprimeable number, because it can be changed into a prime (2000516611) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 64141 + ... + 90083.

It is an arithmetic number, because the mean of its divisors is an integer number (42379524).

Almost surely, 22000516616 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 2000516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390361920).

2000516616 is an abundant number, since it is smaller than the sum of its proper divisors (4780207224).

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

2000516616 is a wasteful number, since it uses less digits than its factorization.

2000516616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25985 (or 25972 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2000516616 is about 44727.1351195222. The cubic root of 2000516616 is about 1260.0295231178.

Adding to 2000516616 its reverse (6166150002), we get a palindrome (8166666618).

The spelling of 2000516616 in words is "two billion, five hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 918 952 1071 1134 1224 1377 1428 1512 1836 2142 2268 2754 2856 3213 3672 4284 4536 5508 6426 8568 9639 11016 12852 19278 25704 25943 38556 51886 77112 77829 103772 155658 181601 207544 233487 311316 363202 441031 466974 544803 622632 700461 726404 882062 933948 1089606 1323093 1400922 1452808 1634409 1764124 1867896 2101383 2179212 2646186 2801844 3087217 3268818 3528248 3969279 4202766 4358424 4903227 5292372 5603688 6174434 6537636 7938558 8405532 9261651 9806454 10584744 11907837 12348868 13075272 14709681 15877116 16811064 18523302 19612908 23815674 24697736 27784953 29419362 31754232 35723511 37046604 39225816 47631348 55569906 58838724 71447022 74093208 83354859 95262696 111139812 117677448 142894044 166709718 222279624 250064577 285788088 333419436 500129154 666838872 1000258308 2000516616