Search a number
-
+
1053110718880 = 2551123294719087
BaseRepresentation
bin11110101001100100100…
…10100101000110100000
310201200021002121111012021
433110302102211012200
5114223232321001010
62123443053311224
7136041031262023
oct17246222450640
93650232544167
101053110718880
113766926010a0
12150124795514
137840064740c
1438d83d611ba
151c5d92708da
hexf5324a51a0

1053110718880 has 384 divisors, whose sum is σ = 2992314286080. Its totient is φ = 346125373440.

The previous prime is 1053110718859. The next prime is 1053110718883. The reversal of 1053110718880 is 888170113501.

It is a super-2 number, since 2×10531107188802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053110718883) 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 63 ways as a sum of consecutive naturals, for example, 55164697 + ... + 55183783.

It is an arithmetic number, because the mean of its divisors is an integer number (7792485120).

Almost surely, 21053110718880 is an apocalyptic number.

1053110718880 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 1053110718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496157143040).

1053110718880 is an abundant number, since it is smaller than the sum of its proper divisors (1939203567200).

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

1053110718880 is a wasteful number, since it uses less digits than its factorization.

1053110718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19212 (or 19204 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 43.

The spelling of 1053110718880 in words is "one trillion, fifty-three billion, one hundred ten million, seven hundred eighteen thousand, eight hundred eighty".