Search a number
-
+
214556424655412 = 22721094675635997
BaseRepresentation
bin110000110010001101001111…
…011110011101001000110100
31001010200101122010201012120202
4300302031033132131020310
5211110243024202433122
62040153505532020032
763123122134346300
oct6062151736351064
91033611563635522
10214556424655412
1162400961275154
1220092580601618
139294779161058
143ada82cd96d00
1519c11894d1e92
hexc3234f79d234

214556424655412 has 18 divisors (see below), whose sum is σ = 436775578763202. Its totient is φ = 91952753423664.

The previous prime is 214556424655411. The next prime is 214556424655439.

214556424655412 is nontrivially palindromic in base 10.

214556424655412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 178510281879076 + 36046142776336 = 13360774^2 + 6003844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214556424655411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 547337817803 + ... + 547337818194.

It is an arithmetic number, because the mean of its divisors is an integer number (24265309931289).

Almost surely, 2214556424655412 is an apocalyptic number.

It is an amenable number.

214556424655412 is an abundant number, since it is smaller than the sum of its proper divisors (222219154107790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214556424655412 is a wasteful number, since it uses less digits than its factorization.

214556424655412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094675636015 (or 1094675636006 counting only the distinct ones).

The product of its digits is 46080000, while the sum is 56.

The spelling of 214556424655412 in words is "two hundred fourteen trillion, five hundred fifty-six billion, four hundred twenty-four million, six hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 1094675635997 2189351271994 4378702543988 7662729451979 15325458903958 30650917807916 53639106163853 107278212327706 214556424655412