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1799086968 = 233275097013
BaseRepresentation
bin110101100111011…
…1110001101111000
311122101022002100200
41223032332031320
512141031240333
6454304402200
762403662340
oct15316761570
94571262320
101799086968
118435a0738
12422616360
13228960603
14130d19d20
15a7e27c13
hex6b3be378

1799086968 has 96 divisors (see below), whose sum is σ = 5580338400. Its totient is φ = 512941824.

The previous prime is 1799086951. The next prime is 1799087027. The reversal of 1799086968 is 8696809971.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 253030 + ... + 260042.

It is an arithmetic number, because the mean of its divisors is an integer number (58128525).

Almost surely, 21799086968 is an apocalyptic number.

1799086968 is a gapful number since it is divisible by the number (18) 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 1799086968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790169200).

1799086968 is an abundant number, since it is smaller than the sum of its proper divisors (3781251432).

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

1799086968 is a wasteful number, since it uses less digits than its factorization.

1799086968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The square root of 1799086968 is about 42415.6453210369. The cubic root of 1799086968 is about 1216.2346885865.

The spelling of 1799086968 in words is "one billion, seven hundred ninety-nine million, eighty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 509 1018 1527 2036 3054 3563 4072 4581 6108 7013 7126 9162 10689 12216 14026 14252 18324 21039 21378 28052 28504 32067 36648 42078 42756 49091 56104 63117 64134 84156 85512 98182 126234 128268 147273 168312 196364 252468 256536 294546 392728 441819 504936 589092 883638 1178184 1767276 3534552 3569617 7139234 10708851 14278468 21417702 24987319 28556936 32126553 42835404 49974638 64253106 74961957 85670808 99949276 128506212 149923914 199898552 224885871 257012424 299847828 449771742 599695656 899543484 1799086968