Search a number
-
+
2124113552 = 2411173122901
BaseRepresentation
bin111111010011011…
…0110011010010000
312111000220011000022
41332212312122100
513322233113202
6550435043012
7103431444611
oct17646663220
95430804008
102124113552
119a0008a50
124b3440468
1327b0b1732
14162165c08
15c672bea2
hex7e9b6690

2124113552 has 80 divisors (see below), whose sum is σ = 4907257344. Its totient is φ = 879360000.

The previous prime is 2124113543. The next prime is 2124113557. The reversal of 2124113552 is 2553114212.

It is not an unprimeable number, because it can be changed into a prime (2124113557) 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 15 ways as a sum of consecutive naturals, for example, 81302 + ... + 104202.

Almost surely, 22124113552 is an apocalyptic number.

2124113552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124113552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453628672).

2124113552 is an abundant number, since it is smaller than the sum of its proper divisors (2783143792).

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

2124113552 is a wasteful number, since it uses less digits than its factorization.

2124113552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22968 (or 22962 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 2124113552 is about 46088.1064050152. The cubic root of 2124113552 is about 1285.4620012557.

Adding to 2124113552 its reverse (2553114212), we get a palindrome (4677227764).

The spelling of 2124113552 in words is "two billion, one hundred twenty-four million, one hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 496 527 682 748 1054 1364 1496 2108 2728 2992 4216 5456 5797 8432 11594 22901 23188 45802 46376 91604 92752 183208 251911 366416 389317 503822 709931 778634 1007644 1419862 1557268 2015288 2839724 3114536 4030576 4282487 5679448 6229072 7809241 8564974 11358896 12068827 15618482 17129948 24137654 31236964 34259896 48275308 62473928 68519792 96550616 124947856 132757097 193101232 265514194 531028388 1062056776 2124113552