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19834422048 = 25367235281
BaseRepresentation
bin10010011110001110…
…010100001100100000
31220012021222001000000
4102132032110030200
5311110103001143
613040052300000
71301341543230
oct223616241440
956167861000
1019834422048
118459017941
123a16611600
131b412b330c
14d62303cc0
157b1460bd3
hex49e394320

19834422048 has 336 divisors, whose sum is σ = 69832941696. Its totient is φ = 5419560960.

The previous prime is 19834422043. The next prime is 19834422061. The reversal of 19834422048 is 84022443891.

19834422048 is a `hidden beast` number, since 198 + 34 + 422 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 19834421994 and 19834422012.

It is not an unprimeable number, because it can be changed into a prime (19834422043) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3753168 + ... + 3758448.

It is an arithmetic number, because the mean of its divisors is an integer number (207836136).

Almost surely, 219834422048 is an apocalyptic number.

19834422048 is a gapful number since it is divisible by the number (18) 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 19834422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34916470848).

19834422048 is an abundant number, since it is smaller than the sum of its proper divisors (49998519648).

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

19834422048 is an equidigital number, since it uses as much as digits as its factorization.

19834422048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 19834422048 in words is "nineteen billion, eight hundred thirty-four million, four hundred twenty-two thousand, forty-eight".