Search a number
-
+
27117505427037 = 3171229432641003
BaseRepresentation
bin1100010101001110010010…
…10001110011011001011101
310120000102000120121122202020
412022213021101303121131
512023243122342131122
6133401335432450353
75466114030651054
oct612471121633135
9116012016548666
1027117505427037
118705518952953
12305b6798499b9
13121922904753c
1469a6cc39d39b
153205c6532c5c
hex18a9c947365d

27117505427037 has 16 divisors (see below), whose sum is σ = 38314687314240. Its totient is φ = 17001060814592.

The previous prime is 27117505426987. The next prime is 27117505427101. The reversal of 27117505427037 is 73072450571172.

It is a cyclic number.

It is not a de Polignac number, because 27117505427037 - 222 = 27117501232733 is a prime.

It is a super-2 number, since 2×271175054270372 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27117505422037) 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 15 ways as a sum of consecutive naturals, for example, 216257823 + ... + 216383180.

It is an arithmetic number, because the mean of its divisors is an integer number (2394667957140).

Almost surely, 227117505427037 is an apocalyptic number.

It is an amenable number.

27117505427037 is a deficient number, since it is larger than the sum of its proper divisors (11197181887203).

27117505427037 is a wasteful number, since it uses less digits than its factorization.

27117505427037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432642252.

The product of its (nonzero) digits is 2881200, while the sum is 51.

The spelling of 27117505427037 in words is "twenty-seven trillion, one hundred seventeen billion, five hundred five million, four hundred twenty-seven thousand, thirty-seven".

Divisors: 1 3 17 51 1229 3687 20893 62679 432641003 1297923009 7354897051 22064691153 531715792687 1595147378061 9039168475679 27117505427037