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19128959980 = 225131710614079
BaseRepresentation
bin10001110100001011…
…001100001111101100
31211101010111211222021
4101310023030033230
5303134003204410
612442051555524
71245014322424
oct216413141754
954333454867
1019128959980
118126887839
12385a2bbba4
131a5b0b0a40
14cd6747484
1576e55eeda
hex4742cc3ec

19128959980 has 96 divisors (see below), whose sum is σ = 45860048640. Its totient is φ = 6639636480.

The previous prime is 19128959977. The next prime is 19128959987. The reversal of 19128959980 is 8995982191.

It is not an unprimeable number, because it can be changed into a prime (19128959987) 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 31 ways as a sum of consecutive naturals, for example, 4687581 + ... + 4691659.

It is an arithmetic number, because the mean of its divisors is an integer number (477708840).

Almost surely, 219128959980 is an apocalyptic number.

19128959980 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 19128959980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22930024320).

19128959980 is an abundant number, since it is smaller than the sum of its proper divisors (26731088660).

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

19128959980 is a wasteful number, since it uses less digits than its factorization.

19128959980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 61.

The spelling of 19128959980 in words is "nineteen billion, one hundred twenty-eight million, nine hundred fifty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1061 1105 2122 2210 4079 4244 4420 5305 8158 10610 13793 16316 18037 20395 21220 27586 36074 40790 53027 55172 68965 69343 72148 81580 90185 106054 137930 138686 180370 212108 234481 265135 275860 277372 346715 360740 468962 530270 693430 901459 937924 1060540 1172405 1386860 1802918 2344810 3605836 4327819 4507295 4689620 8655638 9014590 17311276 18029180 21639095 43278190 56261647 73572923 86556380 112523294 147145846 225046588 281308235 294291692 367864615 562616470 735729230 956447999 1125232940 1471458460 1912895998 3825791996 4782239995 9564479990 19128959980