Search a number
-
+
9798947126928 = 243619113391291
BaseRepresentation
bin1000111010010111111011…
…0000110011111010010000
31021200202210110210002000000
42032211332300303322100
52241021220431030203
632501324004130000
72030644021204431
oct216457660637220
937622713702000
109798947126928
11313878a216793
121123127696900
1356106297913b
1425c3b3299488
1511ed5e3464a3
hex8e97ec33e90

9798947126928 has 280 divisors, whose sum is σ = 30228574786080. Its totient is φ = 3067012408320.

The previous prime is 9798947126923. The next prime is 9798947126939. The reversal of 9798947126928 is 8296217498979.

9798947126928 is a `hidden beast` number, since 9 + 7 + 9 + 89 + 471 + 2 + 69 + 2 + 8 = 666.

It is a Cunningham number, because it is equal to 31303272-1.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (9798947126923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24846963 + ... + 25238253.

Almost surely, 29798947126928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9798947126928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114287393040).

9798947126928 is an abundant number, since it is smaller than the sum of its proper divisors (20429627659152).

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

9798947126928 is a wasteful number, since it uses less digits than its factorization.

9798947126928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391449 (or 391428 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 81.

The spelling of 9798947126928 in words is "nine trillion, seven hundred ninety-eight billion, nine hundred forty-seven million, one hundred twenty-six thousand, nine hundred twenty-eight".