Search a number
-
+
219145263727 = 13612411146679
BaseRepresentation
bin1100110000011000010…
…0110101101001101111
3202221122121110212000011
43030012010311221233
512042302141414402
6244401323314051
721555424002265
oct3140604655157
9687577425004
10219145263727
1184a36874205
123657b37b927
13178858baab0
14a86ca70435
155a79154ed7
hex3306135a6f

219145263727 has 16 divisors (see below), whose sum is σ = 240867014080. Its totient is φ = 198145958400.

The previous prime is 219145263713. The next prime is 219145263749. The reversal of 219145263727 is 727362541912.

219145263727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 219145263727 - 215 = 219145230959 is a prime.

It is a super-2 number, since 2×2191452637272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219145563727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382227 + ... + 764452.

It is an arithmetic number, because the mean of its divisors is an integer number (15054188380).

Almost surely, 2219145263727 is an apocalyptic number.

219145263727 is a deficient number, since it is larger than the sum of its proper divisors (21721750353).

219145263727 is a wasteful number, since it uses less digits than its factorization.

219145263727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146994.

The product of its digits is 1270080, while the sum is 49.

The spelling of 219145263727 in words is "two hundred nineteen billion, one hundred forty-five million, two hundred sixty-three thousand, seven hundred twenty-seven".

Divisors: 1 13 61 241 793 3133 14701 191113 1146679 14906827 69947419 276349639 909316447 3592545307 16857327979 219145263727