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19348021420 = 225721313111593
BaseRepresentation
bin10010000001001110…
…110110000010101100
31211221101201022202221
4102001032312002230
5304111043141140
612515515125124
71253314316500
oct220116660254
954841638687
1019348021420
1182294a9952
1238bb7437a4
131a945b01b0
14d1788c300
157838d214a
hex4813b60ac

19348021420 has 144 divisors (see below), whose sum is σ = 51293154528. Its totient is φ = 6076062720.

The previous prime is 19348021403. The next prime is 19348021513. The reversal of 19348021420 is 2412084391.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663144 + ... + 1674736.

It is an arithmetic number, because the mean of its divisors is an integer number (356202462).

Almost surely, 219348021420 is an apocalyptic number.

19348021420 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 19348021420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646577264).

19348021420 is an abundant number, since it is smaller than the sum of its proper divisors (31945133108).

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

19348021420 is a wasteful number, since it uses less digits than its factorization.

19348021420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760 (or 11751 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 19348021420 in words is "nineteen billion, three hundred forty-eight million, twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 131 140 182 196 245 260 262 364 455 490 524 637 655 910 917 980 1274 1310 1703 1820 1834 2548 2620 3185 3406 3668 4585 6370 6419 6812 8515 9170 11593 11921 12740 12838 17030 18340 23186 23842 25676 32095 34060 46372 47684 57965 59605 64190 81151 83447 115930 119210 128380 150709 162302 166894 231860 238420 301418 324604 333788 405755 417235 568057 602836 753545 811510 834470 1054963 1136114 1507090 1518683 1623020 1668940 2109926 2272228 2840285 3014180 3037366 4219852 5274815 5680570 6074732 7384741 7593415 10549630 10630781 11361140 14769482 15186830 19742879 21099260 21261562 29538964 30373660 36923705 39485758 42523124 53153905 73847410 74415467 78971516 98714395 106307810 138200153 147694820 148830934 197428790 212615620 276400306 297661868 372077335 394857580 552800612 691000765 744154670 967401071 1382001530 1488309340 1934802142 2764003060 3869604284 4837005355 9674010710 19348021420