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27340377000 = 2335327133629
BaseRepresentation
bin11001011101100111…
…010000101110101000
32121120101202001111120
4121131213100232220
5421443114031000
620320543055240
71655343240636
oct313547205650
977511661446
1027340377000
111065aa259a2
1253702a1520
132769377991
141475126356
15aa03bc6a0
hex65d9d0ba8

27340377000 has 128 divisors (see below), whose sum is σ = 85619289600. Its totient is φ = 7263648000.

The previous prime is 27340376977. The next prime is 27340377011. The reversal of 27340377000 is 77304372.

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, 796186 + ... + 829814.

It is an arithmetic number, because the mean of its divisors is an integer number (668900700).

Almost surely, 227340377000 is an apocalyptic number.

27340377000 is a gapful number since it is divisible by the number (20) 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 27340377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42809644800).

27340377000 is an abundant number, since it is smaller than the sum of its proper divisors (58278912600).

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

27340377000 is a wasteful number, since it uses less digits than its factorization.

27340377000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33924 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 33.

The spelling of 27340377000 in words is "twenty-seven billion, three hundred forty million, three hundred seventy-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 271 300 375 500 542 600 750 813 1000 1084 1355 1500 1626 2168 2710 3000 3252 4065 5420 6504 6775 8130 10840 13550 16260 20325 27100 32520 33629 33875 40650 54200 67258 67750 81300 100887 101625 134516 135500 162600 168145 201774 203250 269032 271000 336290 403548 406500 504435 672580 807096 813000 840725 1008870 1345160 1681450 2017740 2522175 3362900 4035480 4203625 5044350 6725800 8407250 9113459 10088700 12610875 16814500 18226918 20177400 25221750 27340377 33629000 36453836 45567295 50443500 54680754 72907672 91134590 100887000 109361508 136701885 182269180 218723016 227836475 273403770 364538360 455672950 546807540 683509425 911345900 1093615080 1139182375 1367018850 1822691800 2278364750 2734037700 3417547125 4556729500 5468075400 6835094250 9113459000 13670188500 27340377000