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68046896164 = 221327921272
BaseRepresentation
bin111111010111111010…
…010011110000100100
320111122022020111002111
4333113322103300210
52103330001134124
651132121050404
74626160034242
oct772772236044
9214568214074
1068046896164
1126949776275
1211230926a04
13655590ca00
143417487792
151b83e13494
hexfd7e93c24

68046896164 has 81 divisors (see below), whose sum is σ = 131636196657. Its totient is φ = 30764549088.

The previous prime is 68046896129. The next prime is 68046896167. The reversal of 68046896164 is 46169864086.

It is a happy number.

The square root of 68046896164 is 260858.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10066108900 + 57980787264 = 100330^2 + 240792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68046896099 and 68046896108.

It is not an unprimeable number, because it can be changed into a prime (68046896167) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 535802269 + ... + 535802395.

Almost surely, 268046896164 is an apocalyptic number.

68046896164 is the 260858-th square number.

It is an amenable number.

68046896164 is a deficient number, since it is larger than the sum of its proper divisors (63589300493).

68046896164 is a wasteful number, since it uses less digits than its factorization.

68046896164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 68046896164 in words is "sixty-eight billion, forty-six million, eight hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 79 127 158 169 254 316 338 508 676 1027 1651 2054 3302 4108 6241 6604 10033 12482 13351 16129 20066 21463 24964 26702 32258 40132 42926 53404 64516 81133 85852 130429 162266 209677 260858 324532 419354 521716 792607 838708 1054729 1274191 1585214 1695577 2109458 2548382 2725801 3170428 3391154 4218916 5096764 5451602 6782308 10303891 10903204 16564483 20607782 33128966 41215564 66257932 100661089 133950583 201322178 215338279 267901166 402644356 430676558 535802332 861353116 1308594157 2617188314 5234376628 17011724041 34023448082 68046896164