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2112153168 = 2431710923747
BaseRepresentation
bin111110111100100…
…1110011001010000
312110012101111110010
41331321032121100
513311202400133
6545330434520
7103225001646
oct17571163120
95405344403
102112153168
11994289a34
124ab432a40
13278784798
14160731196
15c5668263
hex7de4e650

2112153168 has 80 divisors (see below), whose sum is σ = 5830608960. Its totient is φ = 656529408.

The previous prime is 2112153167. The next prime is 2112153187. The reversal of 2112153168 is 8613512112.

It is a super-2 number, since 2×21121531682 = 8922382010184872448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112153167) 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 15 ways as a sum of consecutive naturals, for example, 77071 + ... + 100817.

It is an arithmetic number, because the mean of its divisors is an integer number (72882612).

Almost surely, 22112153168 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 2112153168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915304480).

2112153168 is an abundant number, since it is smaller than the sum of its proper divisors (3718455792).

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

2112153168 is a wasteful number, since it uses less digits than its factorization.

2112153168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23884 (or 23878 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 2112153168 is about 45958.1675874920. The cubic root of 2112153168 is about 1283.0447471336.

The spelling of 2112153168 in words is "two billion, one hundred twelve million, one hundred fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 109 136 204 218 272 327 408 436 654 816 872 1308 1744 1853 2616 3706 5232 5559 7412 11118 14824 22236 23747 29648 44472 47494 71241 88944 94988 142482 189976 284964 379952 403699 569928 807398 1139856 1211097 1614796 2422194 2588423 3229592 4844388 5176846 6459184 7765269 9688776 10353692 15530538 19377552 20707384 31061076 41414768 44003191 62122152 88006382 124244304 132009573 176012764 264019146 352025528 528038292 704051056 1056076584 2112153168