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19871381376 = 27357118297
BaseRepresentation
bin10010100000011011…
…010011011110000000
31220021212111202200000
4102200123103132000
5311144033201001
613043452400000
71302300645330
oct224033233600
956255452600
1019871381376
118477970a40
123a26a76000
131b48b53b42
14d671a50c0
157b4811a86
hex4a06d3780

19871381376 has 384 divisors, whose sum is σ = 73941154560. Its totient is φ = 5160775680.

The previous prime is 19871381353. The next prime is 19871381389. The reversal of 19871381376 is 67318317891.

19871381376 is a `hidden beast` number, since 198 + 7 + 1 + 3 + 81 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2390860 + ... + 2399156.

It is an arithmetic number, because the mean of its divisors is an integer number (192555090).

Almost surely, 219871381376 is an apocalyptic number.

19871381376 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 19871381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36970577280).

19871381376 is an abundant number, since it is smaller than the sum of its proper divisors (54069773184).

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

19871381376 is an equidigital number, since it uses as much as digits as its factorization.

19871381376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8320 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 19871381376 in words is "nineteen billion, eight hundred seventy-one million, three hundred eighty-one thousand, three hundred seventy-six".