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2095124096 = 27132234211
BaseRepresentation
bin111110011100001…
…0000111010000000
312102000100022221202
41330320100322000
513242322432341
6543521440332
7102630155342
oct17470207200
95360308852
102095124096
1198570881a
124a57a00a8
132750a1700
1415c37b292
15c3e0279b
hex7ce10e80

2095124096 has 96 divisors (see below), whose sum is σ = 4717271520. Its totient is φ = 924718080.

The previous prime is 2095124089. The next prime is 2095124107. The reversal of 2095124096 is 6904215902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495431 + ... + 499641.

It is an arithmetic number, because the mean of its divisors is an integer number (49138245).

Almost surely, 22095124096 is an apocalyptic number.

2095124096 is a gapful number since it is divisible by the number (26) 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 2095124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358635760).

2095124096 is an abundant number, since it is smaller than the sum of its proper divisors (2622147424).

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

2095124096 is a wasteful number, since it uses less digits than its factorization.

2095124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 2095124096 is about 45772.5255584614. The cubic root of 2095124096 is about 1279.5872888186.

Adding to 2095124096 its reverse (6904215902), we get a palindrome (8999339998).

The spelling of 2095124096 in words is "two billion, ninety-five million, one hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 299 338 368 416 598 676 736 832 1196 1352 1472 1664 2392 2704 2944 3887 4211 4784 5408 7774 8422 9568 10816 15548 16844 19136 21632 31096 33688 38272 54743 62192 67376 96853 109486 124384 134752 193706 218972 248768 269504 387412 437944 497536 539008 711659 774824 875888 1259089 1423318 1549648 1751776 2518178 2846636 3099296 3503552 5036356 5693272 6198592 7007104 10072712 11386544 12397184 16368157 20145424 22773088 32736314 40290848 45546176 65472628 80581696 91092352 130945256 161163392 261890512 523781024 1047562048 2095124096