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27134821835481 = 34313912291231319
BaseRepresentation
bin1100010101101110100010…
…11010101010001011011001
310120002001201101111100110010
412022313101122222023121
512024034103342213411
6133413322015312133
75500266116001633
oct612672132521331
9116061641440403
1027134821835481
1187118a4582908
123062ab0b1b649
13121aa58762179
1469b4920c3a53
15320c8b8aa7a6
hex18add16aa2d9

27134821835481 has 32 divisors (see below), whose sum is σ = 37317861504000. Its totient is φ = 17527782178368.

The previous prime is 27134821835479. The next prime is 27134821835507. The reversal of 27134821835481 is 18453812843172.

It is not a de Polignac number, because 27134821835481 - 21 = 27134821835479 is a prime.

It is a super-2 number, since 2×271348218354812 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (27134821835411) 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, 21421540 + ... + 22652858.

It is an arithmetic number, because the mean of its divisors is an integer number (1166183172000).

Almost surely, 227134821835481 is an apocalyptic number.

It is an amenable number.

27134821835481 is a deficient number, since it is larger than the sum of its proper divisors (10183039668519).

27134821835481 is a wasteful number, since it uses less digits than its factorization.

27134821835481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232733.

The product of its digits is 10321920, while the sum is 57.

The spelling of 27134821835481 in words is "twenty-seven trillion, one hundred thirty-four billion, eight hundred twenty-one million, eight hundred thirty-five thousand, four hundred eighty-one".

Divisors: 1 3 43 129 139 417 1229 3687 5977 17931 52847 158541 170831 512493 1231319 3693957 7345733 22037199 52946717 158840151 171153341 513460023 1513291051 4539873153 7359593663 22078780989 65071515193 195214545579 210347456089 631042368267 9044940611827 27134821835481