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19696935420 = 22325178117937
BaseRepresentation
bin10010010110000001…
…110110000111111100
31212211201020222210200
4102112001312013330
5310314403413140
613014301403500
71265052121461
oct222601660774
955751228720
1019696935420
118398452128
123998569590
131b1b975c96
14d4bd55668
157a4354030
hex4960761fc

19696935420 has 144 divisors (see below), whose sum is σ = 63347907168. Its totient is φ = 4936826880.

The previous prime is 19696935383. The next prime is 19696935421. The reversal of 19696935420 is 2453969691.

19696935420 is a `hidden beast` number, since 1 + 9 + 6 + 9 + 6 + 93 + 542 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19696935421) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2477692 + ... + 2485628.

It is an arithmetic number, because the mean of its divisors is an integer number (439916022).

Almost surely, 219696935420 is an apocalyptic number.

19696935420 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 19696935420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31673953584).

19696935420 is an abundant number, since it is smaller than the sum of its proper divisors (43650971748).

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

19696935420 is a wasteful number, since it uses less digits than its factorization.

19696935420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8775 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 19696935420 in words is "nineteen billion, six hundred ninety-six million, nine hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 811 1020 1530 1622 2433 3060 3244 4055 4866 7299 7937 8110 9732 12165 13787 14598 15874 16220 23811 24330 27574 29196 31748 36495 39685 41361 47622 48660 55148 68935 71433 72990 79370 82722 95244 119055 124083 134929 137870 142866 145980 158740 165444 206805 238110 248166 269858 275740 285732 357165 404787 413610 476220 496332 539716 620415 674645 714330 809574 827220 1214361 1240830 1349290 1428660 1619148 2023935 2428722 2481660 2698580 4047870 4857444 6071805 6436907 8095740 12143610 12873814 19310721 24287220 25747628 32184535 38621442 57932163 64369070 77242884 96553605 109427419 115864326 128738140 193107210 218854838 231728652 289660815 328282257 386214420 437709676 547137095 579321630 656564514 984846771 1094274190 1158643260 1313129028 1641411285 1969693542 2188548380 3282822570 3939387084 4924233855 6565645140 9848467710 19696935420