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27341644064 = 25735942221
BaseRepresentation
bin11001011101101100…
…000110000100100000
32121120111010102120212
4121131230012010200
5421443430102224
620321030153252
71655360066000
oct313554060440
977514112525
1027341644064
1110660710959
1253707b2828
1327696cc617
141475376000
15aa056cd0e
hex65db06120

27341644064 has 96 divisors (see below), whose sum is σ = 63839664000. Its totient is φ = 11518967040.

The previous prime is 27341644049. The next prime is 27341644073. The reversal of 27341644064 is 46044614372.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626474 + ... + 668694.

It is an arithmetic number, because the mean of its divisors is an integer number (664996500).

Almost surely, 227341644064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27341644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31919832000).

27341644064 is an abundant number, since it is smaller than the sum of its proper divisors (36498019936).

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

27341644064 is an equidigital number, since it uses as much as digits as its factorization.

27341644064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42311 (or 42289 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 27341644064 in words is "twenty-seven billion, three hundred forty-one million, six hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 343 392 413 472 686 784 826 944 1372 1568 1652 1888 2744 2891 3304 5488 5782 6608 10976 11564 13216 20237 23128 40474 42221 46256 80948 84442 92512 161896 168884 295547 323792 337768 591094 647584 675536 1182188 1351072 2068829 2364376 2491039 4137658 4728752 4982078 8275316 9457504 9964156 14481803 16550632 17437273 19928312 28963606 33101264 34874546 39856624 57927212 66202528 69749092 79713248 115854424 122060911 139498184 231708848 244121822 278996368 463417696 488243644 557992736 854426377 976487288 1708852754 1952974576 3417705508 3905949152 6835411016 13670822032 27341644064