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197113822092 = 223211329141853
BaseRepresentation
bin1011011110010011100…
…1100011101110001100
3200211210012102122201100
42313210321203232030
511212142114301332
6230315225143100
720145443562105
oct2674471435614
9624705378640
10197113822092
1176660683000
123225102aa90
13157843aa8b5
14977ca673ac
1551d9db567c
hex2de4e63b8c

197113822092 has 144 divisors (see below), whose sum is σ = 566950718880. Its totient is φ = 57671349120.

The previous prime is 197113822049. The next prime is 197113822099. The reversal of 197113822092 is 290228311791.

197113822092 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (197113822099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318638 + ... + 1460490.

It is an arithmetic number, because the mean of its divisors is an integer number (3937157770).

Almost surely, 2197113822092 is an apocalyptic number.

197113822092 is a gapful number since it is divisible by the number (12) 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 197113822092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283475359440).

197113822092 is an abundant number, since it is smaller than the sum of its proper divisors (369836896788).

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

197113822092 is a wasteful number, since it uses less digits than its factorization.

197113822092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141925 (or 141898 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 197113822092 in words is "one hundred ninety-seven billion, one hundred thirteen million, eight hundred twenty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 121 132 174 198 242 261 319 348 363 396 484 522 638 726 957 1044 1089 1276 1331 1452 1914 2178 2662 2871 3509 3828 3993 4356 5324 5742 7018 7986 10527 11484 11979 14036 15972 21054 23958 31581 38599 42108 47916 63162 77198 115797 126324 141853 154396 231594 283706 347391 425559 463188 567412 694782 851118 1276677 1389564 1560383 1702236 2553354 3120766 4113737 4681149 5106708 6241532 8227474 9362298 12341211 14043447 16454948 17164213 18724596 24682422 28086894 34328426 37023633 45251107 49364844 51492639 56173788 68656852 74047266 90502214 102985278 135753321 148094532 154477917 181004428 188806343 205970556 271506642 308955834 377612686 407259963 497762177 543013284 566419029 617911668 755225372 814519926 995524354 1132838058 1493286531 1629039852 1699257087 1991048708 2265676116 2986573062 3398514174 4479859593 5475383947 5973146124 6797028348 8959719186 10950767894 16426151841 17919438372 21901535788 32852303682 49278455523 65704607364 98556911046 197113822092