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30554030506000 = 2453612291093637
BaseRepresentation
bin1101111001001111010100…
…01000101000000000010000
311000011221021220211120011111
412330213222020220000100
513001044123302143000
6144552154451423104
76302312234111641
oct674475210500020
9130157256746144
1030554030506000
11980a9897513a1
1235156aabb4a94
13140830436c821
14778b743156c8
1537eba9050cba
hex1bc9ea228010

30554030506000 has 160 divisors (see below), whose sum is σ = 75418763827680. Its totient is φ = 11968752384000.

The previous prime is 30554030505997. The next prime is 30554030506063. The reversal of 30554030506000 is 60503045503.

It can be written as a sum of positive squares in 16 ways, for example, as 20861617772304 + 9692412733696 = 4567452^2 + 3113264^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27391182 + ... + 28484818.

It is an arithmetic number, because the mean of its divisors is an integer number (471367273923).

Almost surely, 230554030506000 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 30554030506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37709381913840).

30554030506000 is an abundant number, since it is smaller than the sum of its proper divisors (44864733321680).

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

30554030506000 is a wasteful number, since it uses less digits than its factorization.

30554030506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093950 (or 1093934 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 30554030506000 in words is "thirty trillion, five hundred fifty-four billion, thirty million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 229 244 250 305 400 458 488 500 610 916 976 1000 1145 1220 1525 1832 2000 2290 2440 3050 3664 4580 4880 5725 6100 7625 9160 11450 12200 13969 15250 18320 22900 24400 27938 28625 30500 45800 55876 57250 61000 69845 91600 111752 114500 122000 139690 223504 229000 279380 349225 458000 558760 698450 1093637 1117520 1396900 1746125 2187274 2793800 3492250 4374548 5468185 5587600 6984500 8749096 10936370 13969000 17498192 21872740 27340925 27938000 43745480 54681850 66711857 87490960 109363700 133423714 136704625 218727400 250442873 266847428 273409250 333559285 437454800 500885746 533694856 546818500 667118570 1001771492 1067389712 1093637000 1252214365 1334237140 1667796425 2003542984 2187274000 2504428730 2668474280 3335592850 4007085968 5008857460 5336948560 6261071825 6671185700 8338982125 10017714920 12522143650 13342371400 15277015253 16677964250 20035429840 25044287300 26684742800 30554030506 31305359125 33355928500 50088574600 61108061012 62610718250 66711857000 76385076265 100177149200 122216122024 125221436500 133423714000 152770152530 244432244048 250442873000 305540305060 381925381325 500885746000 611080610120 763850762650 1222161220240 1527701525300 1909626906625 3055403050600 3819253813250 6110806101200 7638507626500 15277015253000 30554030506000