Search a number
-
+
112974637689 = 3218126192
BaseRepresentation
bin110100100110111010…
…0000010101001111001
3101210121101201020011100
41221031310002221321
53322333001401224
6123522210322013
711106421401354
oct1511564025171
9353541636140
10112974637689
1143a04268471
1219a8ab89309
13a865871354
14567a2a729b
152e1332bac9
hex1a4dd02a79

112974637689 has 27 divisors (see below), whose sum is σ = 164357667279. Its totient is φ = 74779310160.

The previous prime is 112974637631. The next prime is 112974637723. The reversal of 112974637689 is 986736479211.

The square root of 112974637689 is 336117.

It is a perfect power (a square), and thus also a powerful number.

112974637689 is a `hidden beast` number, since 1 + 1 + 2 + 97 + 463 + 7 + 6 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1244890089 + 111729747600 = 35283^2 + 334260^2 .

It is not a de Polignac number, because 112974637689 - 225 = 112941083257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112974632689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182511222 + ... + 182511840.

Almost surely, 2112974637689 is an apocalyptic number.

112974637689 is the 336117-th square number.

112974637689 is the 168059-th centered octagonal number.

It is an amenable number.

112974637689 is a deficient number, since it is larger than the sum of its proper divisors (51383029590).

112974637689 is an frugal number, since it uses more digits than its factorization.

112974637689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 803 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 112974637689 in words is "one hundred twelve billion, nine hundred seventy-four million, six hundred thirty-seven thousand, six hundred eighty-nine".

Divisors: 1 3 9 181 543 619 1629 1857 5571 32761 98283 112039 294849 336117 383161 1008351 1149483 3448449 20279059 60837177 69352141 182511531 208056423 624169269 12552737521 37658212563 112974637689