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5206756716 = 2232736756299
BaseRepresentation
bin1001101100101100…
…01100110101101100
3111102212102122110100
410312112030311230
541130412203331
62220354511100
7243012462510
oct46626146554
914385378410
105206756716
112232095427
121013895490
1364c940445
14375722140
15207197ae6
hex13658cd6c

5206756716 has 72 divisors (see below), whose sum is σ = 15082995200. Its totient is φ = 1483564896.

The previous prime is 5206756703. The next prime is 5206756717. The reversal of 5206756716 is 6176576025.

5206756716 is a `hidden beast` number, since 5 + 20 + 67 + 567 + 1 + 6 = 666.

It is a super-2 number, since 2×52067567162 = 54220630999222209312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5206756717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64335 + ... + 120633.

Almost surely, 25206756716 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 5206756716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541497600).

5206756716 is an abundant number, since it is smaller than the sum of its proper divisors (9876238484).

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

5206756716 is a wasteful number, since it uses less digits than its factorization.

5206756716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56683 (or 56678 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5206756716 is about 72157.8596966401. The cubic root of 5206756716 is about 1733.2282617604.

The spelling of 5206756716 in words is "five billion, two hundred six million, seven hundred fifty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 367 734 1101 1468 2202 2569 3303 4404 5138 6606 7707 10276 13212 15414 23121 30828 46242 56299 92484 112598 168897 225196 337794 394093 506691 675588 788186 1013382 1182279 1576372 2026764 2364558 3546837 4729116 7093674 14187348 20661733 41323466 61985199 82646932 123970398 144632131 185955597 247940796 289264262 371911194 433896393 578528524 743822388 867792786 1301689179 1735585572 2603378358 5206756716