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2989419783840 = 2532571958726591
BaseRepresentation
bin101011100000000111010…
…011011110011010100000
3101120210012210201121101100
4223200013103132122200
5342434312431040330
610205153120434400
7425656415621610
oct53400723363240
911523183647340
102989419783840
11a52895596786
12403452778a00
13188b93882a79
14a498da9aa40
1552b65975060
hex2b8074de6a0

2989419783840 has 576 divisors, whose sum is σ = 12293724119040. Its totient is φ = 646205921280.

The previous prime is 2989419783799. The next prime is 2989419783869. The reversal of 2989419783840 is 483879149892.

2989419783840 is a `hidden beast` number, since 2 + 98 + 9 + 419 + 7 + 83 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 112408945 + ... + 112435535.

It is an arithmetic number, because the mean of its divisors is an integer number (21343271040).

Almost surely, 22989419783840 is an apocalyptic number.

2989419783840 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 2989419783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146862059520).

2989419783840 is an abundant number, since it is smaller than the sum of its proper divisors (9304304335200).

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

2989419783840 is a wasteful number, since it uses less digits than its factorization.

2989419783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27225 (or 27214 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 2989419783840 in words is "two trillion, nine hundred eighty-nine billion, four hundred nineteen million, seven hundred eighty-three thousand, eight hundred forty".