Search a number
-
+
11232021648 = 243477170123
BaseRepresentation
bin10100111010111101…
…10000110010010000
31001222210000211002210
422131132300302100
5141000344143043
65054313112120
7545224415541
oct123536606220
931883024083
1011232021648
114844202121
1222156b8640
1310a0013b73
14787a2a4c8
1545b121633
hex29d7b0c90

11232021648 has 80 divisors (see below), whose sum is σ = 30051219456. Its totient is φ = 3612685440.

The previous prime is 11232021643. The next prime is 11232021667. The reversal of 11232021648 is 84612023211.

It is a super-2 number, since 2×112320216482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11232021643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125115 + ... + 195237.

Almost surely, 211232021648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232021648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025609728).

11232021648 is an abundant number, since it is smaller than the sum of its proper divisors (18819197808).

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

11232021648 is a wasteful number, since it uses less digits than its factorization.

11232021648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70252 (or 70246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 11232021648 its reverse (84612023211), we get a palindrome (95844044859).

The spelling of 11232021648 in words is "eleven billion, two hundred thirty-two million, twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 71 94 141 142 188 213 282 284 376 426 564 568 752 852 1128 1136 1704 2256 3337 3408 6674 10011 13348 20022 26696 40044 53392 70123 80088 140246 160176 210369 280492 420738 560984 841476 1121968 1682952 3295781 3365904 4978733 6591562 9887343 9957466 13183124 14936199 19774686 19914932 26366248 29872398 39549372 39829864 52732496 59744796 79098744 79659728 119489592 158197488 234000451 238979184 468000902 702001353 936001804 1404002706 1872003608 2808005412 3744007216 5616010824 11232021648