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27342040338 = 23217768111633
BaseRepresentation
bin11001011101101101…
…100110110100010010
32121120111212120011200
4121131231212310102
5421444030242323
620321042452030
71655363336214
oct313555466422
977514776150
1027342040338
1110660961658
125370964016
13276980aac2
14147543a5b4
15aa05ea443
hex65db66d12

27342040338 has 48 divisors (see below), whose sum is σ = 62739416376. Its totient is φ = 8576040960.

The previous prime is 27342040337. The next prime is 27342040339. The reversal of 27342040338 is 83304024372.

It is an interprime number because it is at equal distance from previous prime (27342040337) and next prime (27342040339).

It can be written as a sum of positive squares in 4 ways, for example, as 27273531609 + 68508729 = 165147^2 + 8277^2 .

It is not an unprimeable number, because it can be changed into a prime (27342040337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2344570 + ... + 2356202.

Almost surely, 227342040338 is an apocalyptic number.

27342040338 is an abundant number, since it is smaller than the sum of its proper divisors (35397376038).

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

27342040338 is a wasteful number, since it uses less digits than its factorization.

27342040338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19339 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 27342040338 in words is "twenty-seven billion, three hundred forty-two million, forty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 7681 11633 15362 23043 23266 34899 46086 69129 69798 104697 130577 138258 197761 209394 261154 391731 395522 593283 783462 1175193 1186566 1779849 2350386 3559698 89353073 178706146 268059219 536118438 804177657 1519002241 1608355314 3038004482 4557006723 9114013446 13671020169 27342040338