Search a number
-
+
30286601744 = 2476789101449
BaseRepresentation
bin11100001101001110…
…001101111000010000
32220011201120210001112
4130031032031320100
5444011332223434
621525150552452
72121346603310
oct341516157020
986151523045
1030286601744
1111931aa7183
125a52b08728
132b18881629
141674531440
15bc3d8cdce
hex70d38de10

30286601744 has 160 divisors (see below), whose sum is σ = 69665184000. Its totient is φ = 12489523200.

The previous prime is 30286601713. The next prime is 30286601759. The reversal of 30286601744 is 44710668203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67453232 + ... + 67453680.

It is an arithmetic number, because the mean of its divisors is an integer number (435407400).

Almost surely, 230286601744 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 30286601744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34832592000).

30286601744 is an abundant number, since it is smaller than the sum of its proper divisors (39378582256).

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

30286601744 is a wasteful number, since it uses less digits than its factorization.

30286601744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 30286601744 in words is "thirty billion, two hundred eighty-six million, six hundred one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 89 101 112 134 178 202 268 356 404 449 469 536 623 707 712 808 898 938 1072 1246 1414 1424 1616 1796 1876 2492 2828 3143 3592 3752 4984 5656 5963 6286 6767 7184 7504 8989 9968 11312 11926 12572 13534 17978 23852 25144 27068 30083 35956 39961 41741 45349 47369 47704 50288 54136 60166 62923 71912 79922 83482 90698 94738 95408 108272 120332 125846 143824 159844 166964 181396 189476 210581 240664 251692 279727 317443 319688 333928 362792 378952 421162 481328 503384 559454 602263 634886 639376 667856 725584 757904 842324 1006768 1118908 1204526 1269772 1684648 2237816 2409052 2539544 2677387 3038383 3369296 4036061 4215841 4475632 4818104 5079088 5354774 6076766 8072122 8431682 9636208 10709548 12153532 16144244 16863364 18741709 21268681 21419096 24307064 28252427 32288488 33726728 37483418 42537362 42838192 48614128 56504854 64576976 67453456 74966836 85074724 113009708 149933672 170149448 226019416 270416087 299867344 340298896 452038832 540832174 1081664348 1892912609 2163328696 3785825218 4326657392 7571650436 15143300872 30286601744