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980056000800 = 25345238892
BaseRepresentation
bin11100100001011111110…
…00111100100100100000
310110200200210021021220000
432100233320330210200
5112024123314011200
62030122001220000
7130543462361532
oct16205770744440
93420623237800
10980056000800
11348704076128
12139b36931600
137155a39a796
143561377b852
151a7608ad300
hexe42fe3c920

980056000800 has 270 divisors, whose sum is σ = 3574992926043. Its totient is φ = 261281064960.

The previous prime is 980056000789. The next prime is 980056000823. The reversal of 980056000800 is 8000650089.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

980056000800 is a `hidden beast` number, since 98 + 0 + 0 + 560 + 0 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 579017508624 + 401038492176 = 760932^2 + 633276^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=700020.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 252005256 + ... + 252009144.

Almost surely, 2980056000800 is an apocalyptic number.

980056000800 is a gapful number since it is divisible by the number (90) 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 980056000800

980056000800 is an abundant number, since it is smaller than the sum of its proper divisors (2594936925243).

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

980056000800 is an frugal number, since it uses more digits than its factorization.

980056000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 980056000800 its reverse (8000650089), we get a palindrome (988056650889).

The spelling of 980056000800 in words is "nine hundred eighty billion, fifty-six million, eight hundred", and thus it is an aban number.