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13982644872 = 2333729318889
BaseRepresentation
bin11010000010110111…
…00011101010001000
31100002110210221211000
431001123203222020
5212114024113442
610231252335000
71003334343330
oct150133435210
940073727730
1013982644872
115a25925059
122862914460
13141ab43581
1496907a0c0
1556c855d4c
hex3416e3a88

13982644872 has 128 divisors (see below), whose sum is σ = 45920160000. Its totient is φ = 3857269248.

The previous prime is 13982644867. The next prime is 13982644889. The reversal of 13982644872 is 27844628931.

13982644872 is a `hidden beast` number, since 13 + 98 + 2 + 64 + 487 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115597 + ... + 203292.

It is an arithmetic number, because the mean of its divisors is an integer number (358751250).

Almost surely, 213982644872 is an apocalyptic number.

13982644872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13982644872 is an abundant number, since it is smaller than the sum of its proper divisors (31937515128).

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

13982644872 is a wasteful number, since it uses less digits than its factorization.

13982644872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318940 (or 318930 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 13982644872 in words is "thirteen billion, nine hundred eighty-two million, six hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 318889 637778 956667 1275556 1913334 2232223 2551112 2870001 3826668 4464446 5740002 6696669 7653336 8610003 8928892 9247781 11480004 13393338 17220006 17857784 18495562 20090007 22960008 26786676 27743343 34440012 36991124 40180014 53573352 55486686 60270021 64734467 68880024 73982248 80360028 83230029 110973372 120540042 129468934 160720056 166460058 194203401 221946744 241080084 249690087 258937868 332920116 388406802 482160168 499380174 517875736 582610203 665840232 776813604 998760348 1165220406 1553627208 1747830609 1997520696 2330440812 3495661218 4660881624 6991322436 13982644872