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19009846450 = 2527214935197
BaseRepresentation
bin10001101101000100…
…110011110010110010
31211001211101020221001
4101231010303302302
5302413010041300
612422154552214
71242040012600
oct215504636262
954054336831
1019009846450
118075621001
12382643866a
131a3c50746a
14cc49bc870
15763d8216a
hex46d133cb2

19009846450 has 72 divisors (see below), whose sum is σ = 41166569412. Its totient is φ = 6512042880.

The previous prime is 19009846441. The next prime is 19009846481. The reversal of 19009846450 is 5464890091.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10403388009 + 8606458441 = 101997^2 + 92771^2 .

It is a super-5 number, since 5×190098464505 (a number of 53 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 19009846450.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3655252 + ... + 3660448.

Almost surely, 219009846450 is an apocalyptic number.

19009846450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19009846450 is an abundant number, since it is smaller than the sum of its proper divisors (22156722962).

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

19009846450 is a wasteful number, since it uses less digits than its factorization.

19009846450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 19009846450 in words is "nineteen billion, nine million, eight hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 1493 2450 2986 5197 7465 10394 10451 14930 20902 25985 36379 37325 51970 52255 72758 73157 74650 104510 129925 146314 181895 254653 259850 261275 363790 365785 509306 522550 731570 909475 1273265 1818950 1828925 2546530 3657850 6366325 7759121 12732650 15518242 38795605 54313847 77591210 108627694 193978025 271569235 380196929 387956050 543138470 760393858 1357846175 1900984645 2715692350 3801969290 9504923225 19009846450