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22849659768 = 23313195372727
BaseRepresentation
bin10101010001111100…
…100010001101111000
32011222102122222120010
4111101330202031320
5333244003103033
614255203301520
71436143621605
oct252174421570
964872588503
1022849659768
119766045641
12451837a8a0
132201ba1450
14116a9556ac
158db014863
hex551f22378

22849659768 has 128 divisors (see below), whose sum is σ = 65978841600. Its totient is φ = 6534867456.

The previous prime is 22849659743. The next prime is 22849659773. The reversal of 22849659768 is 86795694822.

It is a junction number, because it is equal to n+sod(n) for n = 22849659699 and 22849659708.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 277821 + ... + 350547.

It is an arithmetic number, because the mean of its divisors is an integer number (515459700).

Almost surely, 222849659768 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 22849659768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32989420800).

22849659768 is an abundant number, since it is smaller than the sum of its proper divisors (43129181832).

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

22849659768 is a wasteful number, since it uses less digits than its factorization.

22849659768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72821 (or 72817 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 22849659768 in words is "twenty-two billion, eight hundred forty-nine million, six hundred fifty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 53 57 76 78 104 106 114 152 156 159 212 228 247 312 318 424 456 494 636 689 741 988 1007 1272 1378 1482 1976 2014 2067 2756 2964 3021 4028 4134 5512 5928 6042 8056 8268 12084 13091 16536 24168 26182 39273 52364 72727 78546 104728 145454 157092 218181 290908 314184 436362 581816 872724 945451 1381813 1745448 1890902 2763626 2836353 3781804 3854531 4145439 5527252 5672706 7563608 7709062 8290878 11054504 11345412 11563593 15418124 16581756 17963569 22690824 23127186 30836248 33163512 35927138 46254372 50108903 53890707 71854276 73236089 92508744 100217806 107781414 143708552 146472178 150326709 200435612 215562828 219708267 292944356 300653418 400871224 431125656 439416534 585888712 601306836 878833068 952069157 1202613672 1757666136 1904138314 2856207471 3808276628 5712414942 7616553256 11424829884 22849659768