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126809457831 = 32726128316657
BaseRepresentation
bin111011000011001101…
…1101100010010100111
3110010022120100220120100
41312012123230102213
54034201210122311
6134131102435143
712106312415100
oct1660633542247
9403276326510
10126809457831
11498636a6621
12206b0292ab3
13bc5bb97b64
1461cd8633a7
153472bd2a56
hex1d866ec4a7

126809457831 has 72 divisors (see below), whose sum is σ = 217345721424. Its totient is φ = 71018519040.

The previous prime is 126809457793. The next prime is 126809457889. The reversal of 126809457831 is 138754908621.

126809457831 is a `hidden beast` number, since 1 + 2 + 68 + 0 + 9 + 4 + 578 + 3 + 1 = 666.

It is not a de Polignac number, because 126809457831 - 27 = 126809457703 is a prime.

It is a super-2 number, since 2×1268094578312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126809457431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7604655 + ... + 7621311.

It is a 1-persistent number, because it is pandigital, but 2⋅126809457831 = 253618915662 is not.

Almost surely, 2126809457831 is an apocalyptic number.

126809457831 is a deficient number, since it is larger than the sum of its proper divisors (90536263593).

126809457831 is a wasteful number, since it uses less digits than its factorization.

126809457831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17021 (or 17011 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 126809457831 in words is "one hundred twenty-six billion, eight hundred nine million, four hundred fifty-seven thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 49 61 63 147 183 283 427 441 549 849 1281 1981 2547 2989 3843 5943 8967 13867 16657 17263 17829 26901 41601 49971 51789 116599 120841 124803 149913 155367 349797 362523 816193 845887 1016077 1049391 1087569 2448579 2537661 3048231 4713931 7112539 7345737 7612983 9144693 14141793 21337617 32997517 42425379 49787773 64012851 98992551 149363319 230982619 287549791 296977653 448089957 692947857 862649373 2012848537 2078843571 2587948119 6038545611 14089939759 18115636833 42269819277 126809457831