Search a number
-
+
2996749795940 = 225295321839377
BaseRepresentation
bin101011100110111100001…
…101010000001001100100
3101121111010122102210122222
4223212330031100021210
5343044320421432230
610212404324211512
7426336152656355
oct53467415201144
911544118383588
102996749795940
11a55a0715331a
12404959539b98
13189791364134
14a508739dd2c
1552e4422a6e5
hex2b9bc350264

2996749795940 has 72 divisors (see below), whose sum is σ = 6635335409640. Its totient is φ = 1135527737344.

The previous prime is 2996749795933. The next prime is 2996749795943. The reversal of 2996749795940 is 495979476992.

It can be written as a sum of positive squares in 12 ways, for example, as 685839047716 + 2310910748224 = 828154^2 + 1520168^2 .

It is not an unprimeable number, because it can be changed into a prime (2996749795943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709532 + ... + 2548908.

It is an arithmetic number, because the mean of its divisors is an integer number (92157436245).

Almost surely, 22996749795940 is an apocalyptic number.

2996749795940 is a gapful number since it is divisible by the number (20) 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 2996749795940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317667704820).

2996749795940 is an abundant number, since it is smaller than the sum of its proper divisors (3638585613700).

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

2996749795940 is a wasteful number, since it uses less digits than its factorization.

2996749795940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839521 (or 1839466 counting only the distinct ones).

The product of its (nonzero) digits is 2777664960, while the sum is 80.

The spelling of 2996749795940 in words is "two trillion, nine hundred ninety-six billion, seven hundred forty-nine million, seven hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 2809 3074 5618 6148 7685 11236 14045 15370 28090 30740 56180 81461 162922 325844 407305 814610 1629220 1839377 3678754 7357508 9196885 18393770 36787540 53341933 97486981 106683866 194973962 213367732 266709665 389947924 487434905 533419330 974869810 1066838660 1949739620 2827122449 5166809993 5654244898 10333619986 11308489796 14135612245 20667239972 25834049965 28271224490 51668099930 56542448980 103336199860 149837489797 299674979594 599349959188 749187448985 1498374897970 2996749795940