Search a number
-
+
10489578126480 = 243251743179111341
BaseRepresentation
bin1001100010100100101110…
…0100111111110010010000
31101010210102201211221021100
42120221023210333302100
52333330124000021410
634150502355224400
72131563344636025
oct230511344776220
941123381757240
1010489578126480
113384672431702
121214b4a5a8100
135b121708941b
142839ac17354c
15132cd0b338c0
hex98a4b93fc90

10489578126480 has 480 divisors, whose sum is σ = 38380709727360. Its totient is φ = 2557064724480.

The previous prime is 10489578126409. The next prime is 10489578126487. The reversal of 10489578126480 is 8462187598401.

10489578126480 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 9 + 57 + 81 + 26 + 480 = 666.

It is a super-2 number, since 2×104895781264802 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10489578126487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94155610 + ... + 94266950.

It is an arithmetic number, because the mean of its divisors is an integer number (79959811932).

Almost surely, 210489578126480 is an apocalyptic number.

10489578126480 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 10489578126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190354863680).

10489578126480 is an abundant number, since it is smaller than the sum of its proper divisors (27891131600880).

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

10489578126480 is a wasteful number, since it uses less digits than its factorization.

10489578126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111599 (or 111590 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 10489578126480 in words is "ten trillion, four hundred eighty-nine billion, five hundred seventy-eight million, one hundred twenty-six thousand, four hundred eighty".