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5676301312 = 210112917377
BaseRepresentation
bin1010100100101010…
…10111110000000000
3112122120221222112221
411102111113300000
543111113120222
62335130500424
7260443523263
oct52225276000
915576858487
105676301312
112453140210
121124b94714
136c5cc1196
143bbc2acda
152334e70c7
hex152557c00

5676301312 has 88 divisors (see below), whose sum is σ = 12806195760. Its totient is φ = 2491023360.

The previous prime is 5676301297. The next prime is 5676301327. The reversal of 5676301312 is 2131036765.

It is an interprime number because it is at equal distance from previous prime (5676301297) and next prime (5676301327).

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-3 number, since 3×56763013123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 317968 + ... + 335344.

Almost surely, 25676301312 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 5676301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403097880).

5676301312 is an abundant number, since it is smaller than the sum of its proper divisors (7129894448).

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

5676301312 is a wasteful number, since it uses less digits than its factorization.

5676301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17437 (or 17419 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 5676301312 is about 75341.2324826187. The cubic root of 5676301312 is about 1783.8369145831.

The spelling of 5676301312 in words is "five billion, six hundred seventy-six million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2552 2816 3712 5104 5632 7424 10208 11264 14848 17377 20416 29696 34754 40832 69508 81664 139016 163328 191147 278032 326656 382294 503933 556064 764588 1007866 1112128 1529176 2015732 2224256 3058352 4031464 4448512 5543263 6116704 8062928 8897024 11086526 12233408 16125856 17794048 22173052 24466816 32251712 44346104 48933632 64503424 88692208 97867264 129006848 177384416 195734528 258013696 354768832 516027392 709537664 1419075328 2838150656 5676301312