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19090230768 = 2433722328309
BaseRepresentation
bin10001110001110111…
…011100110111110000
31211021102122012111000
4101301313130313300
5303044044341033
612434145522000
71244034166320
oct216167346760
954242565430
1019090230768
118106a34a24
123849343300
131a5307074b
14cd1545280
1576ae5ea13
hex471ddcdf0

19090230768 has 160 divisors (see below), whose sum is σ = 62907084800. Its totient is φ = 5429700864.

The previous prime is 19090230763. The next prime is 19090230773. The reversal of 19090230768 is 86703209091.

It is an interprime number because it is at equal distance from previous prime (19090230763) and next prime (19090230773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19090230763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660198 + ... + 688506.

It is an arithmetic number, because the mean of its divisors is an integer number (393169280).

Almost surely, 219090230768 is an apocalyptic number.

19090230768 is a gapful number since it is divisible by the number (18) 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 19090230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31453542400).

19090230768 is an abundant number, since it is smaller than the sum of its proper divisors (43816854032).

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

19090230768 is a wasteful number, since it uses less digits than its factorization.

19090230768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28556 (or 28544 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19090230768 in words is "nineteen billion, ninety million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 223 252 336 378 432 446 504 669 756 892 1008 1338 1512 1561 1784 2007 2676 3024 3122 3568 4014 4683 5352 6021 6244 8028 9366 10704 12042 12488 14049 16056 18732 24084 24976 28098 28309 32112 37464 42147 48168 56196 56618 74928 84294 84927 96336 112392 113236 168588 169854 198163 224784 226472 254781 337176 339708 396326 452944 509562 594489 674352 679416 764343 792652 1019124 1188978 1358832 1528686 1585304 1783467 2038248 2377956 3057372 3170608 3566934 4076496 4755912 5350401 6114744 6312907 7133868 9511824 10700802 12229488 12625814 14267736 18938721 21401604 25251628 28535472 37877442 42803208 44190349 50503256 56816163 75754884 85606416 88380698 101006512 113632326 132571047 151509768 170448489 176761396 227264652 265142094 303019536 340896978 353522792 397713141 454529304 530284188 681793956 707045584 795426282 909058608 1060568376 1193139423 1363587912 1590852564 2121136752 2386278846 2727175824 3181705128 4772557692 6363410256 9545115384 19090230768