Search a number
-
+
10448053054080 = 2735291348713913
BaseRepresentation
bin1001100000001010000001…
…1111011010101010000000
31100222211020210002200201220
42120002200133122222000
52332140103040212310
634115434100555040
72125563331434015
oct230024037325200
940884223080656
1010448053054080
113368aa3629154
121208a9b9b2a80
135aa32a076775
1428198d21770c
15131ba02ed670
hex980a07daa80

10448053054080 has 256 divisors, whose sum is σ = 34456585075200. Its totient is φ = 2689680637952.

The previous prime is 10448053054069. The next prime is 10448053054093. The reversal of 10448053054080 is 8045035084401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750949204 + ... + 750963116.

It is an arithmetic number, because the mean of its divisors is an integer number (134596035450).

Almost surely, 210448053054080 is an apocalyptic number.

10448053054080 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 10448053054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228292537600).

10448053054080 is an abundant number, since it is smaller than the sum of its proper divisors (24008532021120).

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

10448053054080 is a wasteful number, since it uses less digits than its factorization.

10448053054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27451 (or 27439 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 10448053054080 in words is "ten trillion, four hundred forty-eight billion, fifty-three million, fifty-four thousand, eighty".