Search a number
-
+
8997344516160 = 26355741113337
BaseRepresentation
bin1000001011101101101110…
…0001100001100001000000
31011212010201102001021100000
42002323123201201201000
52134403030144004120
631045153434200000
71616015404350000
oct202733341414100
934763642037300
108997344516160
112959830467890
1210138b4583000
135035a4991590
1423168c160000
151090954db990
hex82edb861840

8997344516160 has 3360 divisors, whose sum is σ = 44115930698112. Its totient is φ = 1720643420160.

The previous prime is 8997344516137. The next prime is 8997344516177. The reversal of 8997344516160 is 616154437998.

8997344516160 is a `hidden beast` number, since 8 + 9 + 9 + 7 + 3 + 4 + 4 + 5 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×89973445161602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 26698351512 + ... + 26698351848.

Almost surely, 28997344516160 is an apocalyptic number.

8997344516160 is a gapful number since it is divisible by the number (80) 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 8997344516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057965349056).

8997344516160 is an abundant number, since it is smaller than the sum of its proper divisors (35118586181952).

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

8997344516160 is a wasteful number, since it uses less digits than its factorization.

8997344516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 8997344516160 in words is "eight trillion, nine hundred ninety-seven billion, three hundred forty-four million, five hundred sixteen thousand, one hundred sixty".