Search a number
-
+
1051104128256 = 2835713185677
BaseRepresentation
bin11110100101110101011…
…00000010110100000000
310201111002020212010100000
433102322230002310000
5114210130124101011
62122512013200000
7135640224450420
oct17227254026400
93644066763300
101051104128256
11375852972936
1214b864790000
1378170a032a0
1438c3366c480
151c51d00a356
hexf4bab02d00

1051104128256 has 432 divisors, whose sum is σ = 3868127279744. Its totient is φ = 277212782592.

The previous prime is 1051104128219. The next prime is 1051104128299. The reversal of 1051104128256 is 6528214011501.

1051104128256 is a `hidden beast` number, since 1 + 0 + 5 + 110 + 412 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10511041282562 (a number of 25 digits) contains 22 as substring.

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 1051104128256.

It is a congruent number.

It is an unprimeable number.

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, 5568090 + ... + 5753766.

Almost surely, 21051104128256 is an apocalyptic number.

1051104128256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051104128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934063639872).

1051104128256 is an abundant number, since it is smaller than the sum of its proper divisors (2817023151488).

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

1051104128256 is an equidigital number, since it uses as much as digits as its factorization.

1051104128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185728 (or 185702 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 1051104128256 its reverse (6528214011501), we get a palindrome (7579318139757).

The spelling of 1051104128256 in words is "one trillion, fifty-one billion, one hundred four million, one hundred twenty-eight thousand, two hundred fifty-six".