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11145442824 = 2332229675973
BaseRepresentation
bin10100110000101000…
…11111011000001000
31001202202010011021200
422120110133120020
5140311213132244
65041541304200
7543123462255
oct123024373010
931682104250
1011145442824
1147aa34817a
1221b0705060
1310880bc1a9
1477a33042c
1545371d669
hex29851f608

11145442824 has 48 divisors (see below), whose sum is σ = 30317433900. Its totient is φ = 3698918784.

The previous prime is 11145442823. The next prime is 11145442853. The reversal of 11145442824 is 42824454111.

It can be written as a sum of positive squares in 2 ways, for example, as 7253928900 + 3891513924 = 85170^2 + 62382^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11145442823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321499 + ... + 354474.

Almost surely, 211145442824 is an apocalyptic number.

It is an amenable number.

11145442824 is an abundant number, since it is smaller than the sum of its proper divisors (19171991076).

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

11145442824 is a wasteful number, since it uses less digits than its factorization.

11145442824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676214 (or 676207 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

Adding to 11145442824 its reverse (42824454111), we get a palindrome (53969896935).

The spelling of 11145442824 in words is "eleven billion, one hundred forty-five million, four hundred forty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 229 458 687 916 1374 1832 2061 2748 4122 5496 8244 16488 675973 1351946 2027919 2703892 4055838 5407784 6083757 8111676 12167514 16223352 24335028 48670056 154797817 309595634 464393451 619191268 928786902 1238382536 1393180353 1857573804 2786360706 3715147608 5572721412 11145442824