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27109346012385 = 3571356693503321
BaseRepresentation
bin1100010100111111000101…
…11100000110110011100001
310112222121221221020110001120
412022133202330012303201
512023124420034344020
6133353510040122453
75465404603040130
oct612374274066341
9115877857213046
1027109346012385
1187020110a295a
123059b81166429
13121852878a230
1469a156879917
1532029a048740
hex18a7e2f06ce1

27109346012385 has 64 divisors (see below), whose sum is σ = 53393990469120. Its totient is φ = 11437527029760.

The previous prime is 27109346012383. The next prime is 27109346012407. The reversal of 27109346012385 is 58321064390172.

It is not a de Polignac number, because 27109346012385 - 21 = 27109346012383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27109346012383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5986525 + ... + 9489845.

It is an arithmetic number, because the mean of its divisors is an integer number (834281101080).

It is a 1-persistent number, because it is pandigital, but 2⋅27109346012385 = 54218692024770 is not.

Almost surely, 227109346012385 is an apocalyptic number.

It is an amenable number.

27109346012385 is a deficient number, since it is larger than the sum of its proper divisors (26284644456735).

27109346012385 is a wasteful number, since it uses less digits than its factorization.

27109346012385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509018.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 27109346012385 in words is "twenty-seven trillion, one hundred nine billion, three hundred forty-six million, twelve thousand, three hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 5669 17007 28345 39683 73697 85035 119049 198415 221091 368485 515879 595245 1105455 1547637 2579395 3503321 7738185 10509963 17516605 24523247 45543173 52549815 73569741 122616235 136629519 227715865 318802211 367848705 683147595 956406633 1594011055 4782033165 19860326749 59580980247 99301633745 139022287243 258184247737 297904901235 417066861729 695111436215 774552743211 1290921238685 1807289734159 2085334308645 3872763716055 5421869202477 9036448670795 27109346012385