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27394173984 = 2537910873323
BaseRepresentation
bin11001100000110100…
…011110110000100000
32121201010222020002110
4121200310132300200
5422100402031414
620330144115320
71656565431312
oct314064366040
977633866073
1027394173984
111068832a411
125386305b40
132777562408
14147c32b7b2
15aa4e97459
hex660d1ec20

27394173984 has 96 divisors (see below), whose sum is σ = 72908881920. Its totient is φ = 9004799232.

The previous prime is 27394173977. The next prime is 27394174001. The reversal of 27394173984 is 48937149372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 8242147 + ... + 8245469.

It is an arithmetic number, because the mean of its divisors is an integer number (759467520).

Almost surely, 227394173984 is an apocalyptic number.

27394173984 is a gapful number since it is divisible by the number (24) 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 27394173984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36454440960).

27394173984 is an abundant number, since it is smaller than the sum of its proper divisors (45514707936).

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

27394173984 is a wasteful number, since it uses less digits than its factorization.

27394173984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4494 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 27394173984 in words is "twenty-seven billion, three hundred ninety-four million, one hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1087 1264 1896 2174 2528 3261 3323 3792 4348 6522 6646 7584 8696 9969 13044 13292 17392 19938 26088 26584 34784 39876 52176 53168 79752 85873 104352 106336 159504 171746 257619 262517 319008 343492 515238 525034 686984 787551 1030476 1050068 1373968 1575102 2060952 2100136 2747936 3150204 3612101 4121904 4200272 6300408 7224202 8243808 8400544 10836303 12600816 14448404 21672606 25201632 28896808 43345212 57793616 86690424 115587232 173380848 285355979 346761696 570711958 856067937 1141423916 1712135874 2282847832 3424271748 4565695664 6848543496 9131391328 13697086992 27394173984