Search a number
-
+
1108288507392 = 2933112798387
BaseRepresentation
bin10000001000001011001…
…001001000111000000000
310220221200112100120101000
4100020023021020320000
5121124233324214032
62205050221012000
7143033264610063
oct20101311107000
93827615316330
101108288507392
11398027a73300
1215a9636b4000
1380685024111
143b8da1d28da
151dc68489e7c
hex1020b248e00

1108288507392 has 480 divisors, whose sum is σ = 3652041254400. Its totient is φ = 331554263040.

The previous prime is 1108288507367. The next prime is 1108288507393. The reversal of 1108288507392 is 2937058828011.

1108288507392 is a `hidden beast` number, since 1 + 108 + 28 + 8 + 507 + 3 + 9 + 2 = 666.

It is a super-4 number, since 4×11082885073924 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1108288507393) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 132139423 + ... + 132147809.

It is an arithmetic number, because the mean of its divisors is an integer number (7608419280).

Almost surely, 21108288507392 is an apocalyptic number.

1108288507392 is a gapful number since it is divisible by the number (12) 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 1108288507392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826020627200).

1108288507392 is an abundant number, since it is smaller than the sum of its proper divisors (2543752747008).

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

1108288507392 is an equidigital number, since it uses as much as digits as its factorization.

1108288507392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8515 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1108288507392 in words is "one trillion, one hundred eight billion, two hundred eighty-eight million, five hundred seven thousand, three hundred ninety-two".