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1675985344 = 261123891163
BaseRepresentation
bin110001111100101…
…1000000111000000
311022210122212200021
41203321120013000
511413023012334
6434150103224
756350432435
oct14371300700
94283585607
101675985344
11790060660
123a934ab14
132092bba07
1411c833b8c
159c20d3b4
hex63e581c0

1675985344 has 112 divisors (see below), whose sum is σ = 3831701760. Its totient is φ = 719882240.

The previous prime is 1675985299. The next prime is 1675985351. The reversal of 1675985344 is 4435895761.

It is a junction number, because it is equal to n+sod(n) for n = 1675985291 and 1675985300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440507 + ... + 1441669.

Almost surely, 21675985344 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 1675985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915850880).

1675985344 is an abundant number, since it is smaller than the sum of its proper divisors (2155716416).

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

1675985344 is a wasteful number, since it uses less digits than its factorization.

1675985344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1288 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The square root of 1675985344 is about 40938.7999824128. The cubic root of 1675985344 is about 1187.8366986745.

The spelling of 1675985344 in words is "one billion, six hundred seventy-five million, nine hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 89 92 176 178 184 253 352 356 368 506 704 712 736 979 1012 1163 1424 1472 1958 2024 2047 2326 2848 3916 4048 4094 4652 5696 7832 8096 8188 9304 12793 15664 16192 16376 18608 22517 25586 26749 31328 32752 37216 45034 51172 53498 62656 65504 74432 90068 102344 103507 106996 131008 180136 204688 207014 213992 294239 360272 409376 414028 427984 588478 720544 818752 828056 855968 1138577 1176956 1441088 1656112 1711936 2277154 2353912 2380661 3312224 4554308 4707824 4761322 6624448 9108616 9415648 9522644 18217232 18831296 19045288 26187271 36434464 38090576 52374542 72868928 76181152 104749084 152362304 209498168 418996336 837992672 1675985344