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16430203104 = 253767364921
BaseRepresentation
bin11110100110101000…
…10000000011100000
31120102001022210111220
433103110100003200
5232122112444404
611314204135040
71121104264530
oct172324200340
946361283456
1016430203104
116a7146a857
123226537480
13171ac41093
14b1c1594c0
156626734d9
hex3d35100e0

16430203104 has 96 divisors (see below), whose sum is σ = 50026427136. Its totient is φ = 4624266240.

The previous prime is 16430203103. The next prime is 16430203147. The reversal of 16430203104 is 40130203461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16430203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137437 + ... + 227484.

It is an arithmetic number, because the mean of its divisors is an integer number (521108616).

Almost surely, 216430203104 is an apocalyptic number.

16430203104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16430203104 is an abundant number, since it is smaller than the sum of its proper divisors (33596224032).

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

16430203104 is a wasteful number, since it uses less digits than its factorization.

16430203104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365008 (or 365000 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 16430203104 its reverse (40130203461), we get a palindrome (56560406565).

The spelling of 16430203104 in words is "sixteen billion, four hundred thirty million, two hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 67 84 96 112 134 168 201 224 268 336 402 469 536 672 804 938 1072 1407 1608 1876 2144 2814 3216 3752 5628 6432 7504 11256 15008 22512 45024 364921 729842 1094763 1459684 2189526 2554447 2919368 4379052 5108894 5838736 7663341 8758104 10217788 11677472 15326682 17516208 20435576 24449707 30653364 35032416 40871152 48899414 61306728 73349121 81742304 97798828 122613456 146698242 171147949 195597656 245226912 293396484 342295898 391195312 513443847 586792968 684591796 782390624 1026887694 1173585936 1369183592 2053775388 2347171872 2738367184 4107550776 5476734368 8215101552 16430203104