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30780305248 = 2571126118617
BaseRepresentation
bin11100101010101001…
…100010111101100000
32221110010120111221111
4130222221202331200
51001014224231443
622050144433104
72136523164160
oct345251427540
987403514844
1030780305248
1112065752a00
125b70318794
132b96c40794
1416bdd285a0
15c023b069d
hex72aa62f60

30780305248 has 144 divisors (see below), whose sum is σ = 77376110112. Its totient is φ = 11795097600.

The previous prime is 30780305209. The next prime is 30780305249. The reversal of 30780305248 is 84250308703.

It is a self number, because there is not a number n which added to its sum of digits gives 30780305248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30780305249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1644036 + ... + 1662652.

It is an arithmetic number, because the mean of its divisors is an integer number (537334098).

Almost surely, 230780305248 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 30780305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688055056).

30780305248 is an abundant number, since it is smaller than the sum of its proper divisors (46595804864).

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

30780305248 is a wasteful number, since it uses less digits than its factorization.

30780305248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18717 (or 18698 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 30780305248 in words is "thirty billion, seven hundred eighty million, three hundred five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 77 88 112 121 122 154 176 224 242 244 308 352 427 484 488 616 671 847 854 968 976 1232 1342 1694 1708 1936 1952 2464 2684 3388 3416 3872 4697 5368 6776 6832 7381 9394 10736 13552 13664 14762 18617 18788 21472 27104 29524 37234 37576 51667 59048 74468 75152 103334 118096 130319 148936 150304 204787 206668 236192 260638 297872 409574 413336 521276 595744 819148 826672 1042552 1135637 1433509 1638296 1653344 2085104 2252657 2271274 2867018 3276592 4170208 4505314 4542548 5734036 6553184 7949459 9010628 9085096 11468072 12492007 15768599 15898918 18021256 18170192 22936144 24984014 31537198 31797836 36042512 36340384 45872288 49968028 63074396 63595672 72085024 87444049 99936056 126148792 127191344 137412077 174888098 199872112 252297584 254382688 274824154 349776196 399744224 504595168 549648308 699552392 961884539 1099296616 1399104784 1923769078 2198593232 2798209568 3847538156 4397186464 7695076312 15390152624 30780305248