Search a number
-
+
14446076568 = 23371130725463
BaseRepresentation
bin11010111010000110…
…11010001010011000
31101021202211201120220
431131003122022120
5214041143422233
610345245320040
71020662424210
oct153503321230
941252751526
1014446076568
116143485160
122971b66020
131492b63b01
149b0833240
15598398eb3
hex35d0da298

14446076568 has 128 divisors (see below), whose sum is σ = 45175173120. Its totient is φ = 3739858560.

The previous prime is 14446076551. The next prime is 14446076569. The reversal of 14446076568 is 86567064441.

It is a self number, because there is not a number n which added to its sum of digits gives 14446076568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14446076569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554605 + ... + 580067.

It is an arithmetic number, because the mean of its divisors is an integer number (352931040).

Almost surely, 214446076568 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 14446076568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587586560).

14446076568 is an abundant number, since it is smaller than the sum of its proper divisors (30729096552).

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

14446076568 is a wasteful number, since it uses less digits than its factorization.

14446076568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25797 (or 25793 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 14446076568 in words is "fourteen billion, four hundred forty-six million, seventy-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 307 308 462 614 616 921 924 1228 1842 1848 2149 2456 3377 3684 4298 6447 6754 7368 8596 10131 12894 13508 17192 20262 23639 25463 25788 27016 40524 47278 50926 51576 70917 76389 81048 94556 101852 141834 152778 178241 189112 203704 280093 283668 305556 356482 534723 560186 567336 611112 712964 840279 1069446 1120372 1425928 1680558 1960651 2138892 2240744 3361116 3921302 4277784 5881953 6722232 7817141 7842604 11763906 15634282 15685208 23451423 23527812 31268564 46902846 47055624 54719987 62537128 85988551 93805692 109439974 164159961 171977102 187611384 218879948 257965653 328319922 343954204 437759896 515931306 601919857 656639844 687908408 1031862612 1203839714 1313279688 1805759571 2063725224 2407679428 3611519142 4815358856 7223038284 14446076568