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12812269216 = 257114937847
BaseRepresentation
bin10111110111010101…
…11011011010100000
31020001220112201020111
423323222323122200
5202214420103331
65515203221104
7632333330365
oct137352733240
936056481214
1012812269216
11548521254a
122596977794
1312925220b6
1489785c46c
154eec1cdb1
hex2fbabb6a0

12812269216 has 48 divisors (see below), whose sum is σ = 25751779200. Its totient is φ = 6273352960.

The previous prime is 12812269199. The next prime is 12812269229. The reversal of 12812269216 is 61296221821.

It is a happy number.

It is a super-2 number, since 2×128122692162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319605 + ... + 357451.

It is an arithmetic number, because the mean of its divisors is an integer number (536495400).

Almost surely, 212812269216 is an apocalyptic number.

12812269216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12812269216 is an abundant number, since it is smaller than the sum of its proper divisors (12939509984).

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

12812269216 is a wasteful number, since it uses less digits than its factorization.

12812269216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38077 (or 38069 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The spelling of 12812269216 in words is "twelve billion, eight hundred twelve million, two hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 71 142 149 284 298 568 596 1136 1192 2272 2384 4768 10579 21158 37847 42316 75694 84632 151388 169264 302776 338528 605552 1211104 2687137 5374274 5639203 10748548 11278406 21497096 22556812 42994192 45113624 85988384 90227248 180454496 400383413 800766826 1601533652 3203067304 6406134608 12812269216