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2989042010880 = 283517241179367
BaseRepresentation
bin101011011111110000110…
…010011000101100000000
3101120202020110212202022020
4223133300302120230000
5342433024223322010
610205051423441440
7425644150612662
oct53376062305400
911522213782266
102989042010880
11a52711322322
12403368156280
13188b33524483
14a4955840532
1552b42702470
hex2b7f0c98b00

2989042010880 has 864 divisors, whose sum is σ = 10474664739840. Its totient is φ = 725821685760.

The previous prime is 2989042010873. The next prime is 2989042010939. The reversal of 2989042010880 is 880102409892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 8144528457 + ... + 8144528823.

It is an arithmetic number, because the mean of its divisors is an integer number (12123454560).

Almost surely, 22989042010880 is an apocalyptic number.

2989042010880 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 2989042010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237332369920).

2989042010880 is an abundant number, since it is smaller than the sum of its proper divisors (7485622728960).

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

2989042010880 is a wasteful number, since it uses less digits than its factorization.

2989042010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 2989042010880 in words is "two trillion, nine hundred eighty-nine billion, forty-two million, ten thousand, eight hundred eighty".