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19085830848 = 263372534253
BaseRepresentation
bin10001110001100110…
…101010101011000000
31211021010100122221000
4101301212222223000
5303041433041343
612433511332000
71243651612500
oct216146525300
954233318830
1019085830848
1181044aa227
123847981000
131a5218cb46
14cd0b1ba00
1576a890ed3
hex4719aaac0

19085830848 has 336 divisors, whose sum is σ = 66516564960. Its totient is φ = 5348947968.

The previous prime is 19085830843. The next prime is 19085830867. The reversal of 19085830848 is 84803858091.

19085830848 is a `hidden beast` number, since 19 + 0 + 8 + 583 + 0 + 8 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19085830794 and 19085830803.

It is not an unprimeable number, because it can be changed into a prime (19085830843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4485490 + ... + 4489742.

Almost surely, 219085830848 is an apocalyptic number.

19085830848 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 19085830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33258282480).

19085830848 is an abundant number, since it is smaller than the sum of its proper divisors (47430734112).

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

19085830848 is a wasteful number, since it uses less digits than its factorization.

19085830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 19085830848 in words is "nineteen billion, eighty-five million, eight hundred thirty thousand, eight hundred forty-eight".