Search a number
-
+
10898530560 = 2835537947
BaseRepresentation
bin10100010011001101…
…00110000100000000
31001010112111201100000
422021212212010000
5134310010434220
65001241200000
7534034660401
oct121146460400
931115451300
1010898530560
114692a33355
122141a90000
131048bbb068
147556199a8
1543bbe9390
hex2899a6100

10898530560 has 432 divisors, whose sum is σ = 40203648576. Its totient is φ = 2824740864.

The previous prime is 10898530529. The next prime is 10898530583. The reversal of 10898530560 is 6503589801.

10898530560 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 85 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 11508007 + ... + 11508953.

Almost surely, 210898530560 is an apocalyptic number.

10898530560 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 10898530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101824288).

10898530560 is an abundant number, since it is smaller than the sum of its proper divisors (29305118016).

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

10898530560 is an frugal number, since it uses more digits than its factorization.

10898530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10898530560 in words is "ten billion, eight hundred ninety-eight million, five hundred thirty thousand, five hundred sixty".