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19863793120 = 255312129187
BaseRepresentation
bin10010011111111110…
…010110110111100000
31220021100020020112111
4102133332112313200
5311140112334440
613043022005104
71302146312203
oct223776266740
956240206474
1019863793120
118473658856
123a24416794
131b473c7c52
14d6618b93a
157b3d134ea
hex49ff96de0

19863793120 has 72 divisors (see below), whose sum is σ = 48491232552. Its totient is φ = 7689150720.

The previous prime is 19863793099. The next prime is 19863793129. The reversal of 19863793120 is 2139736891.

It is a super-2 number, since 2×198637931202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19863793129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89167 + ... + 218353.

It is an arithmetic number, because the mean of its divisors is an integer number (673489341).

Almost surely, 219863793120 is an apocalyptic number.

19863793120 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 19863793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24245616276).

19863793120 is an abundant number, since it is smaller than the sum of its proper divisors (28627439432).

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

19863793120 is a wasteful number, since it uses less digits than its factorization.

19863793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129264 (or 129225 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 19863793120 in words is "nineteen billion, eight hundred sixty-three million, seven hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 961 992 1240 1922 2480 3844 4805 4960 7688 9610 15376 19220 30752 38440 76880 129187 153760 258374 516748 645935 1033496 1291870 2066992 2583740 4004797 4133984 5167480 8009594 10334960 16019188 20023985 20669920 32038376 40047970 64076752 80095940 124148707 128153504 160191880 248297414 320383760 496594828 620743535 640767520 993189656 1241487070 1986379312 2482974140 3972758624 4965948280 9931896560 19863793120