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27374494340 = 225192112231531
BaseRepresentation
bin11001011111101001…
…011010001010000100
32121122202221101200202
4121133221122022010
5422030332304330
620324202230032
71656236235254
oct313751321204
977582841622
1027374494340
1110678208846
12537b7b5318
132773461a5b
141479887964
15aa33ab445
hex65fa5a284

27374494340 has 96 divisors (see below), whose sum is σ = 61111357440. Its totient is φ = 10271318400.

The previous prime is 27374494339. The next prime is 27374494403. The reversal of 27374494340 is 4349447372.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17879375 + ... + 17880905.

It is an arithmetic number, because the mean of its divisors is an integer number (636576640).

Almost surely, 227374494340 is an apocalyptic number.

27374494340 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 27374494340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30555678720).

27374494340 is an abundant number, since it is smaller than the sum of its proper divisors (33736863100).

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

27374494340 is a wasteful number, since it uses less digits than its factorization.

27374494340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 27374494340 in words is "twenty-seven billion, three hundred seventy-four million, four hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 211 223 380 422 446 844 892 1055 1115 1531 2110 2230 3062 4009 4220 4237 4460 6124 7655 8018 8474 15310 16036 16948 20045 21185 29089 30620 40090 42370 47053 58178 80180 84740 94106 116356 145445 188212 235265 290890 323041 341413 470530 581780 646082 682826 894007 941060 1292164 1365652 1615205 1707065 1788014 3230410 3414130 3576028 4470035 6137779 6460820 6486847 6828260 8940070 12275558 12973694 17880140 24551116 25947388 30688895 32434235 61377790 64868470 72038143 122755580 129736940 144076286 288152572 360190715 720381430 1368724717 1440762860 2737449434 5474898868 6843623585 13687247170 27374494340