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27144301360 = 24511191623463
BaseRepresentation
bin11001010001111011…
…010010101100110000
32121001201210101021211
4121101323102230300
5421042420120420
620245300325504
71650442516561
oct312173225460
977051711254
1027144301360
111056a283410
1253166a3894
1327378659a7
141457086168
15a8d08ae5a
hex651ed2b30

27144301360 has 80 divisors (see below), whose sum is σ = 72471432960. Its totient is φ = 9351141120.

The previous prime is 27144301357. The next prime is 27144301361. The reversal of 27144301360 is 6310344172.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (27144301361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795012 + ... + 828451.

It is an arithmetic number, because the mean of its divisors is an integer number (905892912).

Almost surely, 227144301360 is an apocalyptic number.

27144301360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27144301360 is an abundant number, since it is smaller than the sum of its proper divisors (45327131600).

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

27144301360 is a wasteful number, since it uses less digits than its factorization.

27144301360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623506 (or 1623500 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 27144301360 in words is "twenty-seven billion, one hundred forty-four million, three hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 1623463 3246926 6493852 8117315 12987704 16234630 17858093 25975408 30845797 32469260 35716186 61691594 64938520 71432372 89290465 123383188 129877040 142864744 154228985 178580930 246766376 285729488 308457970 339303767 357161860 493532752 616915940 678607534 714323720 1233831880 1357215068 1428647440 1696518835 2467663760 2714430136 3393037670 5428860272 6786075340 13572150680 27144301360