Search a number
-
+
19754308080 = 24335132373419
BaseRepresentation
bin10010011001011100…
…101101000111110000
31212222201012211022000
4102121130231013300
5310424100324310
613024111214000
71266346563633
oct223134550760
955881184260
1019754308080
118417879051
1239b3817300
131b2a8130c0
14d5580bc1a
157a93d84c0
hex49972d1f0

19754308080 has 640 divisors, whose sum is σ = 77695027200. Its totient is φ = 4576518144.

The previous prime is 19754308051. The next prime is 19754308081. The reversal of 19754308080 is 8080345791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19754308081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47146111 + ... + 47146529.

It is an arithmetic number, because the mean of its divisors is an integer number (121398480).

Almost surely, 219754308080 is an apocalyptic number.

19754308080 is a gapful number since it is divisible by the number (10) 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 19754308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38847513600).

19754308080 is an abundant number, since it is smaller than the sum of its proper divisors (57940719120).

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

19754308080 is a wasteful number, since it uses less digits than its factorization.

19754308080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19754308080 in words is "nineteen billion, seven hundred fifty-four million, three hundred eight thousand, eighty".