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19129919352 = 23323199174149
BaseRepresentation
bin10001110100001110…
…110110011101111000
31211101012022120222120
4101310032312131320
5303134224404402
612442124321240
71245025426425
oct216416663570
954335276876
1019129919352
118127382605
12385a6a3220
131a5b35860b
14cd6916d4c
1576e69e3bc
hex4743b6778

19129919352 has 64 divisors (see below), whose sum is σ = 50155200000. Its totient is φ = 6068709504.

The previous prime is 19129919327. The next prime is 19129919353. The reversal of 19129919352 is 25391992191.

It is a junction number, because it is equal to n+sod(n) for n = 19129919295 and 19129919304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19129919353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22774 + ... + 196922.

It is an arithmetic number, because the mean of its divisors is an integer number (783675000).

Almost surely, 219129919352 is an apocalyptic number.

19129919352 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 19129919352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25077600000).

19129919352 is an abundant number, since it is smaller than the sum of its proper divisors (31025280648).

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

19129919352 is a wasteful number, since it uses less digits than its factorization.

19129919352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174380 (or 174376 counting only the distinct ones).

The product of its digits is 393660, while the sum is 51.

The spelling of 19129919352 in words is "nineteen billion, one hundred twenty-nine million, nine hundred nineteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 199 276 398 552 597 796 1194 1592 2388 4577 4776 9154 13731 18308 27462 36616 54924 109848 174149 348298 522447 696596 1044894 1393192 2089788 4005427 4179576 8010854 12016281 16021708 24032562 32043416 34655651 48065124 69311302 96130248 103966953 138622604 207933906 277245208 415867812 797079973 831735624 1594159946 2391239919 3188319892 4782479838 6376639784 9564959676 19129919352