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12816407808 = 283250311059
BaseRepresentation
bin10111110111110101…
…01101110100000000
31020002012022222022200
423323322231310000
5202222000022213
65515432033200
7632413445301
oct137372556400
936065288280
1012816407808
115487589976
122598232800
131293340a79
148982187a8
15500289273
hex2fbeadd00

12816407808 has 108 divisors (see below), whose sum is σ = 37029676320. Its totient is φ = 4263257088.

The previous prime is 12816407803. The next prime is 12816407843. The reversal of 12816407808 is 80870461821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816407803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153383 + ... + 1164441.

Almost surely, 212816407808 is an apocalyptic number.

12816407808 is a gapful number since it is divisible by the number (18) 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 12816407808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514838160).

12816407808 is an abundant number, since it is smaller than the sum of its proper divisors (24213268512).

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

12816407808 is a wasteful number, since it uses less digits than its factorization.

12816407808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11584 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12816407808 in words is "twelve billion, eight hundred sixteen million, four hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 503 576 768 1006 1152 1509 2012 2304 3018 4024 4527 6036 8048 9054 11059 12072 16096 18108 22118 24144 32192 33177 36216 44236 48288 64384 66354 72432 88472 96576 99531 128768 132708 144864 176944 193152 199062 265416 289728 353888 386304 398124 530832 579456 707776 796248 1061664 1158912 1415552 1592496 2123328 2831104 3184992 4246656 5562677 6369984 8493312 11125354 12739968 16688031 22250708 25479936 33376062 44501416 50064093 66752124 89002832 100128186 133504248 178005664 200256372 267008496 356011328 400512744 534016992 712022656 801025488 1068033984 1424045312 1602050976 2136067968 3204101952 4272135936 6408203904 12816407808