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1675756068 = 2237294391567
BaseRepresentation
bin110001111100010…
…0000001000100100
311022210020020011120
41203320200020210
511412443143233
6434141133540
756345456130
oct14370401044
94283206146
101675756068
1178aa14378
123a925a2b0
1320923b54c
1411c7b43c0
159c1b54b3
hex63e20224

1675756068 has 96 divisors (see below), whose sum is σ = 4636262400. Its totient is φ = 460930176.

The previous prime is 1675756063. The next prime is 1675756127. The reversal of 1675756068 is 8606575761.

It is a self number, because there is not a number n which added to its sum of digits gives 1675756068.

It is not an unprimeable number, because it can be changed into a prime (1675756063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1068621 + ... + 1070187.

It is an arithmetic number, because the mean of its divisors is an integer number (48294400).

Almost surely, 21675756068 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 1675756068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318131200).

1675756068 is an abundant number, since it is smaller than the sum of its proper divisors (2960506332).

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

1675756068 is a wasteful number, since it uses less digits than its factorization.

1675756068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 1675756068 is about 40935.9996580027. Note that the first 3 decimals coincide. The cubic root of 1675756068 is about 1187.7825305662.

The spelling of 1675756068 in words is "one billion, six hundred seventy-five million, seven hundred fifty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 439 609 812 878 1218 1317 1567 1756 2436 2634 3073 3134 4701 5268 6146 6268 9219 9402 10969 12292 12731 18438 18804 21938 25462 32907 36876 38193 43876 45443 50924 65814 76386 89117 90886 131628 136329 152772 178234 181772 267351 272658 318101 356468 534702 545316 636202 687913 954303 1069404 1272404 1375826 1908606 2063739 2751652 3817212 4127478 4815391 8254956 9630782 14446173 19261564 19949477 28892346 39898954 57784692 59848431 79797908 119696862 139646339 239393724 279292678 418939017 558585356 837878034 1675756068