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11125542024 = 2333149934361
BaseRepresentation
bin10100101110010001…
…00100110010001000
31001201100200002112000
422113020210302020
5140241114321044
65035550551000
7542462355402
oct122710446210
931640602460
1011125542024
11479a095433
1221a5b08460
131083c41c7c
1477782db72
15451adbd69
hex297224c88

11125542024 has 64 divisors (see below), whose sum is σ = 30925800000. Its totient is φ = 3705932160.

The previous prime is 11125542019. The next prime is 11125542047. The reversal of 11125542024 is 42024552111.

It is a happy number.

11125542024 is a `hidden beast` number, since 1 + 112 + 5 + 542 + 0 + 2 + 4 = 666.

It is a super-3 number, since 3×111255420243 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306604 + ... + 340964.

It is an arithmetic number, because the mean of its divisors is an integer number (483215625).

Almost surely, 211125542024 is an apocalyptic number.

It is an amenable number.

11125542024 is an abundant number, since it is smaller than the sum of its proper divisors (19800257976).

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

11125542024 is a wasteful number, since it uses less digits than its factorization.

11125542024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35875 (or 35865 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 11125542024 in words is "eleven billion, one hundred twenty-five million, five hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1499 2998 4497 5996 8994 11992 13491 17988 26982 34361 35976 40473 53964 68722 80946 103083 107928 137444 161892 206166 274888 309249 323784 412332 618498 824664 927747 1236996 1855494 2473992 3710988 7421976 51507139 103014278 154521417 206028556 309042834 412057112 463564251 618085668 927128502 1236171336 1390692753 1854257004 2781385506 3708514008 5562771012 11125542024