Search a number
-
+
12234555677889 = 3279349465110601
BaseRepresentation
bin1011001000001001010001…
…0110000101110011000001
31121022121112012222002212200
42302002110112011303001
53100422332223143024
642004251032143413
72401626460252056
oct262022426056301
947277465862780
1012234555677889
1139977117a9286
12145717bb37b69
136a9937b7322c
1430422718902d
151633aee092c9
hexb2094585cc1

12234555677889 has 48 divisors (see below), whose sum is σ = 17952663456000. Its totient is φ = 8027566560000.

The previous prime is 12234555677867. The next prime is 12234555677921. The reversal of 12234555677889 is 98877655543221.

12234555677889 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 55 + 567 + 7 + 8 + 8 + 9 = 666.

It is not a de Polignac number, because 12234555677889 - 28 = 12234555677633 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (12234555677389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154089189 + ... + 1154099789.

It is an arithmetic number, because the mean of its divisors is an integer number (374013822000).

Almost surely, 212234555677889 is an apocalyptic number.

It is an amenable number.

12234555677889 is a deficient number, since it is larger than the sum of its proper divisors (5718107778111).

12234555677889 is a wasteful number, since it uses less digits than its factorization.

12234555677889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15686 (or 15683 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 72.

The spelling of 12234555677889 in words is "twelve trillion, two hundred thirty-four billion, five hundred fifty-five million, six hundred seventy-seven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 79 237 349 711 1047 3141 4651 10601 13953 27571 31803 41859 82713 95409 248139 367429 837479 1102287 1623199 2512437 3306861 3699749 4869597 7537311 11099247 14608791 33297741 49305251 128232721 147915753 292280171 384698163 443747259 876840513 1154094489 2630521539 3895114829 11685344487 17207532599 35056033461 51622597797 154867793391 1359395075321 4078185225963 12234555677889