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16105434400 = 2552111830163
BaseRepresentation
bin11101111111111010…
…10110110100100000
31112120102012211121101
432333331112310200
5230440442400100
611222043204144
71110051635146
oct167775266440
945512184541
1016105434400
116915109270
123155816654
131698880453
14acad79596
15643dc086a
hex3bff56d20

16105434400 has 72 divisors (see below), whose sum is σ = 42891723504. Its totient is φ = 5856518400.

The previous prime is 16105434391. The next prime is 16105434427. The reversal of 16105434400 is 443450161.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906282 + ... + 923881.

It is an arithmetic number, because the mean of its divisors is an integer number (595718382).

Almost surely, 216105434400 is an apocalyptic number.

16105434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16105434400 is an abundant number, since it is smaller than the sum of its proper divisors (26786289104).

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

16105434400 is a wasteful number, since it uses less digits than its factorization.

16105434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830194 (or 1830181 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 16105434400 its reverse (443450161), we get a palindrome (16548884561).

The spelling of 16105434400 in words is "sixteen billion, one hundred five million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 1830163 3660326 7320652 9150815 14641304 18301630 20131793 29282608 36603260 40263586 45754075 58565216 73206520 80527172 91508150 100658965 146413040 161054344 183016300 201317930 292826080 322108688 366032600 402635860 503294825 644217376 732065200 805271720 1006589650 1464130400 1610543440 2013179300 3221086880 4026358600 8052717200 16105434400