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19000022048 = 2572594
BaseRepresentation
bin10001101100011111…
…010101010000100000
31211001010220010101022
4101230133111100200
5302403001201143
612421204225012
71241560344200
oct215437252040
954033803338
1019000022048
118070020867
12382309b168
131a3a4777c7
14cc3582400
15763091268
hex46c7d5420

19000022048 has 90 divisors (see below), whose sum is σ = 44263675071. Its totient is φ = 8004851904.

The previous prime is 19000022039. The next prime is 19000022051. The reversal of 19000022048 is 84022000091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9500011024 + 9500011024 = 97468^2 + 97468^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=97468.

It is a super-2 number, since 2×190000220482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 322034243 + ... + 322034301.

Almost surely, 219000022048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19000022048

19000022048 is an abundant number, since it is smaller than the sum of its proper divisors (25263653023).

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

19000022048 is an frugal number, since it uses more digits than its factorization.

19000022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Multiplying 19000022048 by its product of nonzero digits (1152), we get a square (21888025399296 = 46784642).

The spelling of 19000022048 in words is "nineteen billion, twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 392 413 472 784 826 944 1568 1652 1888 2891 3304 3481 5782 6608 6962 11564 13216 13924 23128 24367 27848 46256 48734 55696 92512 97468 111392 170569 194936 205379 341138 389872 410758 682276 779744 821516 1364552 1437653 1643032 2729104 2875306 3286064 5458208 5750612 6572128 10063571 11501224 12117361 20127142 23002448 24234722 40254284 46004896 48469444 80508568 84821527 96938888 161017136 169643054 193877776 322034272 339286108 387755552 593750689 678572216 1187501378 1357144432 2375002756 2714288864 4750005512 9500011024 19000022048