Search a number
-
+
19638050112 = 2632411515507
BaseRepresentation
bin10010010010100001…
…001101110101000000
31212200121110022100100
4102102201031311000
5310204320100422
613004355322400
71263435446262
oct222241156500
955617408310
1019638050112
11836819278a
1239808b0400
131b0c6c94c5
14d441c7b32
1579e0c17ac
hex49284dd40

19638050112 has 168 divisors, whose sum is σ = 58054231872. Its totient is φ = 6342912000.

The previous prime is 19638050111. The next prime is 19638050183. The reversal of 19638050112 is 21105083691.

19638050112 is a `hidden beast` number, since 1 + 9 + 63 + 80 + 501 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19638050111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3563263 + ... + 3568769.

It is an arithmetic number, because the mean of its divisors is an integer number (345560904).

Almost surely, 219638050112 is an apocalyptic number.

19638050112 is a gapful number since it is divisible by the number (12) 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 19638050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027115936).

19638050112 is an abundant number, since it is smaller than the sum of its proper divisors (38416181760).

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

19638050112 is a wasteful number, since it uses less digits than its factorization.

19638050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 19638050112 in words is "nineteen billion, six hundred thirty-eight million, fifty thousand, one hundred twelve".