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19144654848 = 214321122937
BaseRepresentation
bin10001110101000111…
…000100000000000000
31211102020001020021200
4101311013010000000
5303202012423343
612443412221200
71245264611154
oct216507040000
954366036250
1019144654848
118134727600
12386360a800
131a61417747
14cd8871064
15770b104d3
hex4751c4000

19144654848 has 540 divisors, whose sum is σ = 64585723020. Its totient is φ = 5449973760.

The previous prime is 19144654829. The next prime is 19144654853. The reversal of 19144654848 is 84845644191.

19144654848 is a `hidden beast` number, since 1 + 9 + 14 + 46 + 548 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13988265984 + 5156388864 = 118272^2 + 71808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19144654794 and 19144654803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 517423086 + ... + 517423122.

Almost surely, 219144654848 is an apocalyptic number.

19144654848 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 19144654848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32292861510).

19144654848 is an abundant number, since it is smaller than the sum of its proper divisors (45441068172).

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

19144654848 is a wasteful number, since it uses less digits than its factorization.

19144654848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 19144654848 in words is "nineteen billion, one hundred forty-four million, six hundred fifty-four thousand, eight hundred forty-eight".