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27465084000001 = 29411311237142547
BaseRepresentation
bin1100011111010101101101…
…00100110101011100000001
310121020122011221000121200101
412033222312210311130001
512044441443001000001
6134225141351522401
75533200246041224
oct617526644653401
9117218157017611
1027465084000001
1188299709a522a
1230b6b01089401
131242c3c0673ab
146ad4623d55bb
1532966abcba01
hex18fab6935701

27465084000001 has 32 divisors (see below), whose sum is σ = 29351226199680. Its totient is φ = 25652806233600.

The previous prime is 27465083999993. The next prime is 27465084000049. The reversal of 27465084000001 is 10000048056472.

It is a cyclic number.

It is not a de Polignac number, because 27465084000001 - 23 = 27465083999993 is a prime.

It is a super-2 number, since 2×274650840000012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27465084006001) 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 31 ways as a sum of consecutive naturals, for example, 192602610 + ... + 192745156.

It is an arithmetic number, because the mean of its divisors is an integer number (917225818740).

Almost surely, 227465084000001 is an apocalyptic number.

It is an amenable number.

27465084000001 is a deficient number, since it is larger than the sum of its proper divisors (1886142199679).

27465084000001 is a wasteful number, since it uses less digits than its factorization.

27465084000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143985.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 27465084000001 in words is "twenty-seven trillion, four hundred sixty-five billion, eighty-four million, one", and thus it is an aban number.

Divisors: 1 29 41 131 1189 1237 3799 5371 35873 50717 142547 155759 162047 1470793 4133863 4699363 5844427 6643927 18673657 169488383 176330639 192673883 541536053 765619937 5113588531 7229556199 22202978173 23099313709 209657129771 669880097561 947071862069 27465084000001