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30359691808 = 25174110113477
BaseRepresentation
bin11100010001100101…
…000010001000100000
32220100211010010202221
4130101211002020200
5444134040114213
621540321320424
72123225060005
oct342145021040
986324103687
1030359691808
111196a288896
125a73496114
132b2aa627a4
1416801198ac
15bca4c938d
hex711942220

30359691808 has 96 divisors (see below), whose sum is σ = 65476878768. Its totient is φ = 13799424000.

The previous prime is 30359691799. The next prime is 30359691839. The reversal of 30359691808 is 80819695303.

It can be written as a sum of positive squares in 8 ways, for example, as 22568451984 + 7791239824 = 150228^2 + 88268^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245966 + ... + 2259442.

Almost surely, 230359691808 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 30359691808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32738439384).

30359691808 is an abundant number, since it is smaller than the sum of its proper divisors (35117186960).

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

30359691808 is a wasteful number, since it uses less digits than its factorization.

30359691808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13646 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 30359691808 in words is "thirty billion, three hundred fifty-nine million, six hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 101 136 164 202 272 328 404 544 656 697 808 1312 1394 1616 1717 2788 3232 3434 4141 5576 6868 8282 11152 13477 13736 16564 22304 26954 27472 33128 53908 54944 66256 70397 107816 132512 140794 215632 229109 281588 431264 458218 552557 563176 916436 1105114 1126352 1361177 1832872 2210228 2252704 2722354 3665744 4420456 5444708 7331488 8840912 9393469 10889416 17681824 18786938 21778832 23140009 37573876 43557664 46280018 55808257 75147752 92560036 111616514 150295504 185120072 223233028 300591008 370240144 446466056 740480288 892932112 948740369 1785864224 1897480738 3794961476 7589922952 15179845904 30359691808