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2095049376 = 253271736007
BaseRepresentation
bin111110011011111…
…1110101010100000
312102000012112110100
41330313332222200
513242313040001
6543520102400
7102626424450
oct17467765240
95360175410
102095049376
11985667672
124a5764a00
132750766b4
1415c35bd60
15c3dda586
hex7cdfeaa0

2095049376 has 144 divisors (see below), whose sum is σ = 6849408384. Its totient is φ = 595026432.

The previous prime is 2095049371. The next prime is 2095049389. The reversal of 2095049376 is 6739405902.

It is a happy number.

2095049376 is a `hidden beast` number, since 2 + 0 + 95 + 0 + 493 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2095049371) 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, 345765 + ... + 351771.

It is an arithmetic number, because the mean of its divisors is an integer number (47565336).

Almost surely, 22095049376 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 2095049376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424704192).

2095049376 is an abundant number, since it is smaller than the sum of its proper divisors (4754359008).

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

2095049376 is a wasteful number, since it uses less digits than its factorization.

2095049376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 2095049376 is about 45771.7093410329. The cubic root of 2095049376 is about 1279.5720770070.

The spelling of 2095049376 in words is "two billion, ninety-five million, forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 173 224 252 288 336 346 504 519 672 692 1008 1038 1211 1384 1557 2016 2076 2422 2768 3114 3633 4152 4844 5536 6007 6228 7266 8304 9688 10899 12014 12456 14532 16608 18021 19376 21798 24028 24912 29064 36042 38752 42049 43596 48056 49824 54063 58128 72084 84098 87192 96112 108126 116256 126147 144168 168196 174384 192224 216252 252294 288336 336392 348768 378441 432504 504588 576672 672784 756882 865008 1009176 1039211 1345568 1513764 1730016 2018352 2078422 3027528 3117633 4036704 4156844 6055056 6235266 7274477 8313688 9352899 12110112 12470532 14548954 16627376 18705798 21823431 24941064 29097908 33254752 37411596 43646862 49882128 58195816 65470293 74823192 87293724 99764256 116391632 130940586 149646384 174587448 232783264 261881172 299292768 349174896 523762344 698349792 1047524688 2095049376