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198768145368 = 233132113433681
BaseRepresentation
bin1011100100011110000…
…0010011001111011000
3201000001111022222121210
42321013200103033120
511224034121122433
6231151323103120
720234442234042
oct2710740231730
9630044288553
10198768145368
117732a488621
1232633071aa0
1315989053800
14989865ca92
155285245463
hex2e478133d8

198768145368 has 96 divisors (see below), whose sum is σ = 542848433040. Its totient is φ = 60618055680.

The previous prime is 198768145337. The next prime is 198768145393. The reversal of 198768145368 is 863541867891.

It is a happy number.

198768145368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1987681453682 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198768145299 and 198768145308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241488 + ... + 675168.

Almost surely, 2198768145368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198768145368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271424216520).

198768145368 is an abundant number, since it is smaller than the sum of its proper divisors (344080287672).

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

198768145368 is a wasteful number, since it uses less digits than its factorization.

198768145368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433829 (or 433812 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 66.

The spelling of 198768145368 in words is "one hundred ninety-eight billion, seven hundred sixty-eight million, one hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 169 226 312 338 339 452 507 676 678 904 1014 1352 1356 1469 2028 2712 2938 4056 4407 5876 8814 11752 17628 19097 35256 38194 57291 76388 114582 152776 229164 433681 458328 867362 1301043 1734724 2602086 3469448 5204172 5637853 10408344 11275706 16913559 22551412 33827118 45102824 49005953 67654236 73292089 98011906 135308472 146584178 147017859 196023812 219876267 293168356 294035718 392047624 439752534 586336712 588071436 637077389 879505068 1176142872 1274154778 1759010136 1911232167 2548309556 3822464334 5096619112 7644928668 8282006057 15289857336 16564012114 24846018171 33128024228 49692036342 66256048456 99384072684 198768145368