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19217468832 = 2531941313821
BaseRepresentation
bin10001111001011100…
…110100110110100000
31211121022001120021220
4101321130310312200
5303324133000312
612454533015040
71250140534632
oct217134646640
954538046256
1019217468832
11817183a851
123883a84480
131a73530043
14d043c6a52
157771e4c8c
hex479734da0

19217468832 has 192 divisors, whose sum is σ = 54636301440. Its totient is φ = 5894553600.

The previous prime is 19217468779. The next prime is 19217468833. The reversal of 19217468832 is 23886471291.

It is a happy number.

It is a super-2 number, since 2×192174688322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19217468833) 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 31 ways as a sum of consecutive naturals, for example, 23406982 + ... + 23407802.

It is an arithmetic number, because the mean of its divisors is an integer number (284564070).

Almost surely, 219217468832 is an apocalyptic number.

19217468832 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 19217468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318150720).

19217468832 is an abundant number, since it is smaller than the sum of its proper divisors (35418832608).

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

19217468832 is a wasteful number, since it uses less digits than its factorization.

19217468832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 19217468832 in words is "nineteen billion, two hundred seventeen million, four hundred sixty-eight thousand, eight hundred thirty-two".