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16800814080 = 210325364601
BaseRepresentation
bin11111010010110100…
…00001010000000000
31121100212200210012100
433221122001100000
5233402002022310
611415043430400
71133224364151
oct175132012000
947325623170
1016800814080
117141692316
12330a685400
13177996280b
14b5546d928
15684e7dec0
hex3e9681400

16800814080 has 132 divisors (see below), whose sum is σ = 58214542932. Its totient is φ = 4480204800.

The previous prime is 16800814067. The next prime is 16800814103. The reversal of 16800814080 is 8041800861.

It can be written as a sum of positive squares in 2 ways, for example, as 3990196224 + 12810617856 = 63168^2 + 113184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

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, 136221 + ... + 228380.

Almost surely, 216800814080 is an apocalyptic number.

16800814080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16800814080 is an abundant number, since it is smaller than the sum of its proper divisors (41413728852).

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

16800814080 is a wasteful number, since it uses less digits than its factorization.

16800814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364632 (or 364611 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 16800814080 in words is "sixteen billion, eight hundred million, eight hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 364601 729202 1093803 1458404 1823005 2187606 2916808 3281409 3646010 4375212 5469015 5833616 6562818 7292020 8750424 10938030 11667232 13125636 14584040 16407045 17500848 21876060 23334464 26251272 29168080 32814090 35001696 43752120 46668928 52502544 58336160 65628180 70003392 87504240 93337856 105005088 116672320 131256360 140006784 175008480 186675712 210010176 233344640 262512720 280013568 350016960 373351424 420020352 466689280 525025440 560027136 700033920 840040704 933378560 1050050880 1120054272 1400067840 1680081408 1866757120 2100101760 2800135680 3360162816 4200203520 5600271360 8400407040 16800814080