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2988495244800 = 2932521313115233
BaseRepresentation
bin101011011111010000001…
…100101000111000000000
3101120200211101001011020200
4223133100030220320000
5342430414240313200
610204521252405200
7425624461310532
oct53372014507000
911520741034220
102988495244800
11a5246072392a
12403235016800
13188a77176c50
14a4902d93852
1552b0e6ec800
hex2b7d0328e00

2988495244800 has 720 divisors, whose sum is σ = 11606374988208. Its totient is φ = 729966182400.

The previous prime is 2988495244783. The next prime is 2988495244853. The reversal of 2988495244800 is 84425948892.

2988495244800 is a `hidden beast` number, since 2 + 9 + 88 + 495 + 24 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×29884952448002 (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 196177984 + ... + 196193216.

Almost surely, 22988495244800 is an apocalyptic number.

2988495244800 is a gapful number since it is divisible by the number (20) 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 2988495244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803187494104).

2988495244800 is an abundant number, since it is smaller than the sum of its proper divisors (8617879743408).

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

2988495244800 is a wasteful number, since it uses less digits than its factorization.

2988495244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15387 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 2988495244800 in words is "two trillion, nine hundred eighty-eight billion, four hundred ninety-five million, two hundred forty-four thousand, eight hundred".