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2010873816 = 233371969997
BaseRepresentation
bin111011111011011…
…0111111111011000
312012010210222022000
41313312313333120
513104240430231
6531312001000
7100555100610
oct16766677730
95163728260
102010873816
119420a4296
12481530160
132607b3883
141510c9a40
15bb80e6e6
hex77db7fd8

2010873816 has 128 divisors (see below), whose sum is σ = 6719808000. Its totient is φ = 544288896.

The previous prime is 2010873773. The next prime is 2010873827. The reversal of 2010873816 is 6183780102.

It is a super-2 number, since 2×20108738162 = 8087227007748803712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6271 + ... + 63726.

It is an arithmetic number, because the mean of its divisors is an integer number (52498500).

Almost surely, 22010873816 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 2010873816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359904000).

2010873816 is an abundant number, since it is smaller than the sum of its proper divisors (4708934184).

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

2010873816 is a wasteful number, since it uses less digits than its factorization.

2010873816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70038 (or 70028 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2010873816 is about 44842.7677111928. The cubic root of 2010873816 is about 1262.2002824912.

It can be divided in two parts, 2010 and 873816, that added together give a triangular number (875826 = T1323).

The spelling of 2010873816 in words is "two billion, ten million, eight hundred seventy-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 69997 139994 209991 279988 419982 489979 559976 629973 839964 979958 1259946 1329943 1469937 1679928 1889919 1959916 2519892 2659886 2939874 3779838 3919832 3989829 4409811 5039784 5319772 5879748 7559676 7979658 8819622 9309601 10639544 11759496 11969487 13229433 15119352 15959316 17639244 18619202 23938974 26458866 27928803 31918632 35278488 35908461 37238404 47877948 52917732 55857606 71816922 74476808 83786409 95755896 105835464 111715212 143633844 167572818 223430424 251359227 287267688 335145636 502718454 670291272 1005436908 2010873816