Search a number
-
+
1080553726720 = 28513611079949
BaseRepresentation
bin11111011100101100000…
…01010110001100000000
310211022002122110201202001
433232112001112030000
5120200433223223340
62144222144233344
7141032062063156
oct17562601261400
93738078421661
101080553726720
11387295455066
1215550330b854
137ab850471b0
143a4289613d6
151d19366229a
hexfb96056300

1080553726720 has 288 divisors, whose sum is σ = 2859820084800. Its totient is φ = 388726456320.

The previous prime is 1080553726709. The next prime is 1080553726729. The reversal of 1080553726720 is 276273550801.

It is not an unprimeable number, because it can be changed into a prime (1080553726729) 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 31 ways as a sum of consecutive naturals, for example, 108604306 + ... + 108614254.

It is an arithmetic number, because the mean of its divisors is an integer number (9929930850).

Almost surely, 21080553726720 is an apocalyptic number.

1080553726720 is a gapful number since it is divisible by the number (10) 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 1080553726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429910042400).

1080553726720 is an abundant number, since it is smaller than the sum of its proper divisors (1779266358080).

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

1080553726720 is a wasteful number, since it uses less digits than its factorization.

1080553726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10137 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 1080553726720 in words is "one trillion, eighty billion, five hundred fifty-three million, seven hundred twenty-six thousand, seven hundred twenty".