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30706303076000 = 255344211736389
BaseRepresentation
bin1101111101101010111100…
…10010011000011010100000
311000201111100001112121000022
412332311132102120122200
513011043002041413000
6145150140401213012
76316312546441466
oct676653622303240
9130644301477008
1030706303076000
119869519635a72
12353b106931168
1314197906abb56
1478229b834836
15383b1c3d4585
hex1bed5e4986a0

30706303076000 has 96 divisors (see below), whose sum is σ = 75462495348240. Its totient is φ = 12279735936000.

The previous prime is 30706303075969. The next prime is 30706303076039. The reversal of 30706303076000 is 67030360703.

It can be written as a sum of positive squares in 8 ways, for example, as 5362207134736 + 25344095941264 = 2315644^2 + 5034292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16815806 + ... + 18552194.

Almost surely, 230706303076000 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 30706303076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37731247674120).

30706303076000 is an abundant number, since it is smaller than the sum of its proper divisors (44756192272240).

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

30706303076000 is a wasteful number, since it uses less digits than its factorization.

30706303076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740835 (or 1740817 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 35.

The spelling of 30706303076000 in words is "thirty trillion, seven hundred six billion, three hundred three million, seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4421 8842 17684 22105 35368 44210 70736 88420 110525 141472 176840 221050 353680 442100 552625 707360 884200 1105250 1736389 1768400 2210500 3472778 3536800 4421000 6945556 8681945 8842000 13891112 17363890 17684000 27782224 34727780 43409725 55564448 69455560 86819450 138911120 173638900 217048625 277822240 347277800 434097250 694555600 868194500 1389111200 1736389000 3472778000 6945556000 7676575769 15353151538 30706303076 38382878845 61412606152 76765757690 122825212304 153531515380 191914394225 245650424608 307063030760 383828788450 614126061520 767657576900 959571971125 1228252123040 1535315153800 1919143942250 3070630307600 3838287884500 6141260615200 7676575769000 15353151538000 30706303076000