Search a number
-
+
1115451648 = 283643139
BaseRepresentation
bin100001001111100…
…0111000100000000
32212201220211000000
41002133013010000
54241023423043
6302404000000
736433116423
oct10237070400
92781824000
101115451648
11522709373
12271690000
1314a130a7c
14a82019ba
1567dd92d3
hex427c7100

1115451648 has 252 divisors, whose sum is σ = 3440501680. Its totient is φ = 360557568.

The previous prime is 1115451637. The next prime is 1115451661. The reversal of 1115451648 is 8461545111.

1115451648 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 4 + 5 + 1 + 648 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8024763 + ... + 8024901.

Almost surely, 21115451648 is an apocalyptic number.

1115451648 is a gapful number since it is divisible by the number (18) 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 1115451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720250840).

1115451648 is an abundant number, since it is smaller than the sum of its proper divisors (2325050032).

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

1115451648 is an frugal number, since it uses more digits than its factorization.

1115451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

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

The square root of 1115451648 is about 33398.3779246837. The cubic root of 1115451648 is about 1037.0911219522.

Adding to 1115451648 its reverse (8461545111), we get a palindrome (9576996759).

The spelling of 1115451648 in words is "one billion, one hundred fifteen million, four hundred fifty-one thousand, six hundred forty-eight".