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1668256704 = 263213122109
BaseRepresentation
bin110001101101111…
…1001001111000000
311022021010012222100
41203123321033000
511404033203304
6433312310400
756224643112
oct14333711700
94267105870
101668256704
11786761a54
123a6842400
13207813c5a
1411b7c13b2
159b6d3439
hex636f93c0

1668256704 has 84 divisors (see below), whose sum is σ = 4818476520. Its totient is φ = 551815680.

The previous prime is 1668256649. The next prime is 1668256717. The reversal of 1668256704 is 4076528661.

1668256704 is a `hidden beast` number, since 1 + 6 + 6 + 82 + 567 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1668256704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64402 + ... + 86510.

Almost surely, 21668256704 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 1668256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409238260).

1668256704 is an abundant number, since it is smaller than the sum of its proper divisors (3150219816).

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

1668256704 is a wasteful number, since it uses less digits than its factorization.

1668256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22258 (or 22245 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1668256704 is about 40844.2983046594. The cubic root of 1668256704 is about 1186.0080212018.

The spelling of 1668256704 in words is "one billion, six hundred sixty-eight million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 18864 22109 25152 37728 44218 66327 75456 88436 132654 176872 198981 265308 353744 397962 530616 707488 795924 1061232 1414976 1591848 2122464 2896279 3183696 4244928 5792558 6367392 8688837 11585116 12734784 17377674 23170232 26066511 34755348 46340464 52133022 69510696 92680928 104266044 139021392 185361856 208532088 278042784 417064176 556085568 834128352 1668256704