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11542242024 = 233210111031439
BaseRepresentation
bin10101011111111100…
…01010001011101000
31002210101202122110100
422233332022023220
5142114303221044
65145154145400
7556012303245
oct125776121350
932711678410
1011542242024
1149933272a5
1222a1582260
13111c37c911
147b6d005cc
1547849d869
hex2aff8a2e8

11542242024 has 96 divisors (see below), whose sum is σ = 31620326400. Its totient is φ = 3803222400.

The previous prime is 11542242011. The next prime is 11542242043. The reversal of 11542242024 is 42024224511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8020297 + ... + 8021735.

It is an arithmetic number, because the mean of its divisors is an integer number (329378400).

Almost surely, 211542242024 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 11542242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810163200).

11542242024 is an abundant number, since it is smaller than the sum of its proper divisors (20078084376).

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

11542242024 is a wasteful number, since it uses less digits than its factorization.

11542242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 11542242024 its reverse (42024224511), we get a palindrome (53566466535).

The spelling of 11542242024 in words is "eleven billion, five hundred forty-two million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1103 1212 1439 1818 2206 2424 2878 3309 3636 4317 4412 5756 6618 7272 8634 8824 9927 11512 12951 13236 17268 19854 25902 26472 34536 39708 51804 79416 103608 111403 145339 222806 290678 334209 436017 445612 581356 668418 872034 891224 1002627 1162712 1308051 1336836 1587217 1744068 2005254 2616102 2673672 3174434 3488136 4010508 4761651 5232204 6348868 8021016 9523302 10464408 12697736 14284953 19046604 28569906 38093208 57139812 114279624 160308917 320617834 480926751 641235668 961853502 1282471336 1442780253 1923707004 2885560506 3847414008 5771121012 11542242024