Search a number
-
+
28814211612 = 223237591272887
BaseRepresentation
bin11010110101011101…
…011111101000011100
32202101010000121111200
4122311131133220130
5433002414232422
621123112315500
72040020520564
oct326535375034
982333017450
1028814211612
111124696472a
1257019a2b90
132942808474
141574b77da4
15b399992ac
hex6b575fa1c

28814211612 has 144 divisors (see below), whose sum is σ = 76697886720. Its totient is φ = 9111263616.

The previous prime is 28814211593. The next prime is 28814211617. The reversal of 28814211612 is 21611241882.

28814211612 is a `hidden beast` number, since 2 + 8 + 8 + 14 + 21 + 1 + 612 = 666.

It is a super-2 number, since 2×288142116122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28814211617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9979233 + ... + 9982119.

Almost surely, 228814211612 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 28814211612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38348943360).

28814211612 is an abundant number, since it is smaller than the sum of its proper divisors (47883675108).

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

28814211612 is a wasteful number, since it uses less digits than its factorization.

28814211612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3115 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The spelling of 28814211612 in words is "twenty-eight billion, eight hundred fourteen million, two hundred eleven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 127 148 177 222 236 254 333 354 381 444 508 531 666 708 762 1062 1143 1332 1524 2124 2183 2286 2887 4366 4572 4699 5774 6549 7493 8661 8732 9398 11548 13098 14097 14986 17322 18796 19647 22479 25983 26196 28194 29972 34644 39294 42291 44958 51966 56388 67437 78588 84582 89916 103932 106819 134874 169164 170333 213638 269748 277241 320457 340666 366649 427276 510999 554482 640914 681332 733298 831723 961371 1021998 1099947 1108964 1281828 1466596 1532997 1663446 1922742 2043996 2199894 2495169 3065994 3299841 3326892 3845484 4399788 4990338 6131988 6302321 6599682 9980676 12604642 13199364 13566013 18906963 21632291 25209284 27132026 37813926 40698039 43264582 54264052 56720889 64896873 75627852 81396078 86529164 113441778 122094117 129793746 162792156 194690619 226883556 244188234 259587492 389381238 488376468 778762476 800394767 1600789534 2401184301 3201579068 4802368602 7203552903 9604737204 14407105806 28814211612