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19042838520 = 2335534316947
BaseRepresentation
bin10001101111000010…
…101010011111111000
31211011010110102112120
4101233002222133320
5302444431313040
612425334041240
71242620312436
oct215702523770
954133412476
1019042838520
118092205482
1238354a9220
131a462b92b4
14cc9129d56
15766bec7d0
hex46f0aa7f8

19042838520 has 128 divisors (see below), whose sum is σ = 58349859840. Its totient is φ = 4970001920.

The previous prime is 19042838497. The next prime is 19042838533. The reversal of 19042838520 is 2583824091.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2737687 + ... + 2744633.

It is an arithmetic number, because the mean of its divisors is an integer number (455858280).

Almost surely, 219042838520 is an apocalyptic number.

19042838520 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 19042838520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29174929920).

19042838520 is an abundant number, since it is smaller than the sum of its proper divisors (39307021320).

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

19042838520 is a wasteful number, since it uses less digits than its factorization.

19042838520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 19042838520 in words is "nineteen billion, forty-two million, eight hundred thirty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 431 530 636 795 862 1060 1272 1293 1590 1724 2120 2155 2586 3180 3448 4310 5172 6360 6465 6947 8620 10344 12930 13894 17240 20841 22843 25860 27788 34735 41682 45686 51720 55576 68529 69470 83364 91372 104205 114215 137058 138940 166728 182744 208410 228430 274116 277880 342645 368191 416820 456860 548232 685290 736382 833640 913720 1104573 1370580 1472764 1840955 2209146 2741160 2945528 2994157 3681910 4418292 5522865 5988314 7363820 8836584 8982471 11045730 11976628 14727640 14970785 17964942 22091460 23953256 29941570 35929884 44182920 44912355 59883140 71859768 89824710 119766280 158690321 179649420 317380642 359298840 476070963 634761284 793451605 952141926 1269522568 1586903210 1904283852 2380354815 3173806420 3808567704 4760709630 6347612840 9521419260 19042838520