Search a number
-
+
11255254056 = 233217231732311
BaseRepresentation
bin10100111101101110…
…11000110000101000
31002001101202010222100
422132313120300220
5141022321112211
65100503053400
7545626036524
oct123667306050
932041663870
1011255254056
11485632aa62
122221441260
1310a4a89657
1478ab56d84
1545d1b0156
hex29edd8c28

11255254056 has 192 divisors, whose sum is σ = 33888741120. Its totient is φ = 3356559360.

The previous prime is 11255254051. The next prime is 11255254057. The reversal of 11255254056 is 65045255211.

11255254056 is a `hidden beast` number, since 1 + 1 + 2 + 552 + 54 + 0 + 56 = 666.

11255254056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112552540562 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11255254056.

It is not an unprimeable number, because it can be changed into a prime (11255254051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4869141 + ... + 4871451.

It is an arithmetic number, because the mean of its divisors is an integer number (176503860).

Almost surely, 211255254056 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 11255254056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944370560).

11255254056 is an abundant number, since it is smaller than the sum of its proper divisors (22633487064).

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

11255254056 is a wasteful number, since it uses less digits than its factorization.

11255254056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 11255254056 in words is "eleven billion, two hundred fifty-five million, two hundred fifty-four thousand, fifty-six".