Search a number
-
+
27433161216201 = 31321371392841401
BaseRepresentation
bin1100011110011010001111…
…10101000101000011001001
310121010120210011200011210110
412033031013311011003021
512043431103232404301
6134202341551504533
75530660210620546
oct617150765050311
9117116704604713
1027433161216201
11881737a364284
1230b0892228149
13123cc22522200
146abab4871bcd
153288ed3940d6
hex18f347d450c9

27433161216201 has 48 divisors (see below), whose sum is σ = 40183789020480. Its totient is φ = 16638147302400.

The previous prime is 27433161216191. The next prime is 27433161216217. The reversal of 27433161216201 is 10261216133472.

It is not a de Polignac number, because 27433161216201 - 227 = 27433026998473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27433161216201.

It is not an unprimeable number, because it can be changed into a prime (27433161216221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8234101 + ... + 11075501.

It is an arithmetic number, because the mean of its divisors is an integer number (837162271260).

Almost surely, 227433161216201 is an apocalyptic number.

It is an amenable number.

27433161216201 is a deficient number, since it is larger than the sum of its proper divisors (12750627804279).

27433161216201 is a wasteful number, since it uses less digits than its factorization.

27433161216201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841706 (or 2841693 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 27433161216201 its reverse (10261216133472), we get a palindrome (37694377349673).

The spelling of 27433161216201 in words is "twenty-seven trillion, four hundred thirty-three billion, one hundred sixty-one million, two hundred sixteen thousand, two hundred one".

Divisors: 1 3 13 39 137 139 169 411 417 507 1781 1807 5343 5421 19043 23153 23491 57129 69459 70473 247559 742677 2841401 3218267 8524203 9654801 36938213 110814639 389271937 394954739 480196769 1167815811 1184864217 1440590307 5060535181 5134411607 15181605543 15403234821 54108799243 65786957353 66747350891 162326397729 197360872059 200242052673 703414390159 2110243170477 9144387072067 27433161216201