Search a number
-
+
19628849520 = 24325723295839
BaseRepresentation
bin10010010001111110…
…000111100101110000
31212122222010212111200
4102101332013211300
5310144441141040
613003430211200
71263264316350
oct222176074560
955588125450
1019628849520
118362a79195
1239797b3b00
131b0a827777
14d42cb0b60
1579d3a5630
hex491f87970

19628849520 has 480 divisors, whose sum is σ = 81337651200. Its totient is φ = 4142831616.

The previous prime is 19628849423. The next prime is 19628849521. The reversal of 19628849520 is 2594882691.

It is a happy number.

19628849520 is a `hidden beast` number, since 1 + 9 + 628 + 8 + 4 + 9 + 5 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19628849521) 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 95 ways as a sum of consecutive naturals, for example, 3358761 + ... + 3364599.

It is an arithmetic number, because the mean of its divisors is an integer number (169453440).

Almost surely, 219628849520 is an apocalyptic number.

19628849520 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 19628849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40668825600).

19628849520 is an abundant number, since it is smaller than the sum of its proper divisors (61708801680).

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

19628849520 is a wasteful number, since it uses less digits than its factorization.

19628849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 19628849520 in words is "nineteen billion, six hundred twenty-eight million, eight hundred forty-nine thousand, five hundred twenty".