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2065996548 = 2232711811919
BaseRepresentation
bin111101100100100…
…1001101100000100
312022222112111110200
41323021021230010
513212343342143
6541001250500
7102124452360
oct17311115404
95288474420
102065996548
11970223870
12497a93a30
1326c043885
141585582a0
15c159c1d3
hex7b249b04

2065996548 has 144 divisors (see below), whose sum is σ = 6526141440. Its totient is φ = 535377600.

The previous prime is 2065996489. The next prime is 2065996549. The reversal of 2065996548 is 8456995602.

It is a happy number.

2065996548 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 9 + 96 + 548 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2065996494 and 2065996503.

It is not an unprimeable number, because it can be changed into a prime (2065996549) 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, 2247633 + ... + 2248551.

Almost surely, 22065996548 is an apocalyptic number.

2065996548 is a gapful number since it is divisible by the number (28) 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 2065996548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263070720).

2065996548 is an abundant number, since it is smaller than the sum of its proper divisors (4460144892).

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

2065996548 is a wasteful number, since it uses less digits than its factorization.

2065996548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2065996548 is about 45453.2347363749. The cubic root of 2065996548 is about 1273.6297565302.

The spelling of 2065996548 in words is "two billion, sixty-five million, nine hundred ninety-six thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 811 919 924 1386 1622 1838 2433 2757 2772 3244 3676 4866 5514 5677 6433 7299 8271 8921 9732 10109 11028 11354 12866 14598 16542 17031 17842 19299 20218 22708 25732 26763 29196 30327 33084 34062 35684 38598 40436 51093 53526 57897 60654 62447 68124 70763 77196 80289 90981 102186 107052 115794 121308 124894 141526 160578 181962 187341 204372 212289 231588 249788 283052 321156 363924 374682 424578 562023 636867 745309 749364 849156 1124046 1273734 1490618 2235927 2248092 2547468 2981236 4471854 5217163 6707781 8198399 8943708 10434326 13415562 15651489 16396798 20868652 24595197 26831124 31302978 32793596 46954467 49190394 57388793 62605956 73785591 93908934 98380788 114777586 147571182 172166379 187817868 229555172 295142364 344332758 516499137 688665516 1032998274 2065996548