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13822793112 = 2333126969067
BaseRepresentation
bin11001101111110011…
…10001010110011000
31022200100000122102110
430313321301112120
5211302113334422
610203342232320
7666353542242
oct146771612630
938610018373
1013822793112
115953674067
1228192856a0
1313c39a542b
14951b49092
1555d7cc60c
hex337e71598

13822793112 has 64 divisors (see below), whose sum is σ = 35804851200. Its totient is φ = 4442325120.

The previous prime is 13822793077. The next prime is 13822793129. The reversal of 13822793112 is 21139722831.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165603 + ... + 234669.

It is an arithmetic number, because the mean of its divisors is an integer number (559450800).

Almost surely, 213822793112 is an apocalyptic number.

13822793112 is a gapful number since it is divisible by the number (12) 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 13822793112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902425600).

13822793112 is an abundant number, since it is smaller than the sum of its proper divisors (21982058088).

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

13822793112 is a wasteful number, since it uses less digits than its factorization.

13822793112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69376 (or 69372 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The spelling of 13822793112 in words is "thirteen billion, eight hundred twenty-two million, seven hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 269 372 538 744 807 1076 1614 2152 3228 6456 8339 16678 25017 33356 50034 66712 69067 100068 138134 200136 207201 276268 414402 552536 828804 1657608 2141077 4282154 6423231 8564308 12846462 17128616 18579023 25692924 37158046 51385848 55737069 74316092 111474138 148632184 222948276 445896552 575949713 1151899426 1727849139 2303798852 3455698278 4607597704 6911396556 13822793112