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2168778612 = 22372111325793
BaseRepresentation
bin1000000101000100…
…1110111101110100
312121010221100221210
42001101032331310
513420201403422
6555112241420
7104513212500
oct20121167564
95533840853
102168778612
11a13245520
125063a0270
1328741c770
14168071300
15ca60110c
hex8144ef74

2168778612 has 144 divisors (see below), whose sum is σ = 6916093632. Its totient is φ = 519966720.

The previous prime is 2168778571. The next prime is 2168778673.

2168778612 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71188 + ... + 96980.

It is an arithmetic number, because the mean of its divisors is an integer number (48028428).

Almost surely, 22168778612 is an apocalyptic number.

2168778612 is a gapful number since it is divisible by the number (22) 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 2168778612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458046816).

2168778612 is an abundant number, since it is smaller than the sum of its proper divisors (4747315020).

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

2168778612 is a wasteful number, since it uses less digits than its factorization.

2168778612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838 (or 25829 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2168778612 is about 46570.1472190072. The cubic root of 2168778612 is about 1294.4096456945.

The spelling of 2168778612 in words is "two billion, one hundred sixty-eight million, seven hundred seventy-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 25793 28028 42042 51586 77379 84084 103172 154758 180551 283723 309516 335309 361102 541653 567446 670618 722204 851169 1005927 1083306 1134892 1263857 1341236 1702338 1986061 2011854 2166612 2347163 2527714 3404676 3688399 3791571 3972122 4023708 4694326 5055428 5958183 7041489 7376798 7583142 7944244 9388652 11065197 11916366 13902427 14082978 14753596 15166284 16430141 22130394 23832732 25818793 27804854 28165956 32860282 41707281 44260788 49290423 51637586 55609708 65720564 77456379 83414562 98580846 103275172 154912758 166829124 180731551 197161692 309825516 361463102 542194653 722926204 1084389306 2168778612