Search a number
-
+
30226482048 = 273731362741
BaseRepresentation
bin11100001001101000…
…111000001110000000
32220000112110101100010
4130021220320032000
5443400434411143
621515202224520
72120016600240
oct341150701600
986015411303
1030226482048
1111901074384
125a36955140
132b09292049
14166a561b20
15bbd964a33
hex709a38380

30226482048 has 128 divisors (see below), whose sum is σ = 94719191040. Its totient is φ = 8357529600.

The previous prime is 30226482047. The next prime is 30226482059. The reversal of 30226482048 is 84028462203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30226481997 and 30226482015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30226482047) by changing a digit.

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, 98043 + ... + 264698.

It is an arithmetic number, because the mean of its divisors is an integer number (739993680).

Almost surely, 230226482048 is an apocalyptic number.

It is an amenable number.

30226482048 is an abundant number, since it is smaller than the sum of its proper divisors (64492708992).

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

30226482048 is a wasteful number, since it uses less digits than its factorization.

30226482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362796 (or 362784 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 30226482048 in words is "thirty billion, two hundred twenty-six million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 362741 725482 1088223 1450964 2176446 2539187 2901928 4352892 5078374 5803856 7617561 8705784 10156748 11244971 11607712 15235122 17411568 20313496 22489942 23215424 30470244 33734913 34823136 40626992 44979884 46430848 60940488 67469826 69646272 78714797 81253984 89959768 121880976 134939652 139292544 157429594 162507968 179919536 236144391 243761952 269879304 314859188 325015936 359839072 472288782 487523904 539758608 629718376 719678144 944577564 975047808 1079517216 1259436752 1439356288 1889155128 2159034432 2518873504 3778310256 4318068864 5037747008 7556620512 10075494016 15113241024 30226482048