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11525124042 = 23627728537
BaseRepresentation
bin10101011101111001…
…10110111111001010
31002202012112222000000
422232330312333022
5142100412432132
65143343223430
7555413636505
oct125674667712
932665488000
1011525124042
1149846a5303
1222978a7b76
131118968233
147b492613c
15476c1b87c
hex2aef36fca

11525124042 has 56 divisors (see below), whose sum is σ = 26014156356. Its totient is φ = 3827704896.

The previous prime is 11525124031. The next prime is 11525124049. The reversal of 11525124042 is 24042152511.

It is a happy number.

11525124042 is a `hidden beast` number, since 1 + 1 + 5 + 251 + 2 + 404 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9856319841 + 1668804201 = 99279^2 + 40851^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11525123997 and 11525124015.

It is not an unprimeable number, because it can be changed into a prime (11525124049) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 389598 + ... + 418134.

Almost surely, 211525124042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11525124042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007078178).

11525124042 is an abundant number, since it is smaller than the sum of its proper divisors (14489032314).

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

11525124042 is an equidigital number, since it uses as much as digits as its factorization.

11525124042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28834 (or 28819 counting only the distinct ones).

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

Adding to 11525124042 its reverse (24042152511), we get a palindrome (35567276553).

The spelling of 11525124042 in words is "eleven billion, five hundred twenty-five million, one hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 277 486 554 729 831 1458 1662 2493 4986 7479 14958 22437 28537 44874 57074 67311 85611 134622 171222 201933 256833 403866 513666 770499 1540998 2311497 4622994 6934491 7904749 13868982 15809498 20803473 23714247 41606946 47428494 71142741 142285482 213428223 426856446 640284669 1280569338 1920854007 3841708014 5762562021 11525124042