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16844223456 = 25358112671
BaseRepresentation
bin11111010111111111…
…00111001111100000
31121110220101012200000
433223333213033200
5233444110122311
611423234100000
71134262352124
oct175377471740
947426335600
1016844223456
117164141435
12332111a600
131785951138
14b5b12d584
15688ba6056
hex3ebfe73e0

16844223456 has 144 divisors (see below), whose sum is σ = 49754734848. Its totient is φ = 5605718400.

The previous prime is 16844223421. The next prime is 16844223481. The reversal of 16844223456 is 65432244861.

16844223456 is a `hidden beast` number, since 168 + 442 + 2 + 3 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6305001 + ... + 6307671.

It is an arithmetic number, because the mean of its divisors is an integer number (345518992).

Almost surely, 216844223456 is an apocalyptic number.

16844223456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16844223456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24877367424).

16844223456 is an abundant number, since it is smaller than the sum of its proper divisors (32910511392).

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

16844223456 is an equidigital number, since it uses as much as digits as its factorization.

16844223456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3487 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 16844223456 in words is "sixteen billion, eight hundred forty-four million, two hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 811 864 972 1296 1622 1944 2433 2592 2671 3244 3888 4866 5342 6488 7299 7776 8013 9732 10684 12976 14598 16026 19464 21368 21897 24039 25952 29196 32052 38928 42736 43794 48078 58392 64104 65691 72117 77856 85472 87588 96156 116784 128208 131382 144234 175176 192312 197073 216351 233568 256416 262764 288468 350352 384624 394146 432702 525528 576936 649053 700704 769248 788292 865404 1051056 1153872 1298106 1576584 1730808 2102112 2166181 2307744 2596212 3153168 3461616 4332362 5192424 6306336 6498543 6923232 8664724 10384848 12997086 17329448 19495629 20769696 25994172 34658896 38991258 51988344 58486887 69317792 77982516 103976688 116973774 155965032 175460661 207953376 233947548 311930064 350921322 467895096 526381983 623860128 701842644 935790192 1052763966 1403685288 1871580384 2105527932 2807370576 4211055864 5614741152 8422111728 16844223456