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19484706816 = 21134731609
BaseRepresentation
bin10010001001011000…
…010000100000000000
31212021220220122220000
4102021120100200000
5304401041104231
612541240520000
71256564163261
oct221130204000
955256818800
1019484706816
118299677693
123939480000
131ab69c9923
14d2baac968
157908d16e6
hex489610800

19484706816 has 240 divisors, whose sum is σ = 59033274300. Its totient is φ = 6401949696.

The previous prime is 19484706809. The next prime is 19484706821. The reversal of 19484706816 is 61860748491.

19484706816 is a `hidden beast` number, since 1 + 94 + 8 + 470 + 6 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17171481600 + 2313225216 = 131040^2 + 48096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12109020 + ... + 12110628.

Almost surely, 219484706816 is an apocalyptic number.

19484706816 is a gapful number since it is divisible by the number (16) 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 19484706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516637150).

19484706816 is an abundant number, since it is smaller than the sum of its proper divisors (39548567484).

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

19484706816 is an equidigital number, since it uses as much as digits as its factorization.

19484706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 19484706816 in words is "nineteen billion, four hundred eighty-four million, seven hundred six thousand, eight hundred sixteen".