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711131382104 = 2311131097566653
BaseRepresentation
bin10100101100100101011…
…10111100000101011000
32111222112222011012100012
422112102232330011120
543122344113211404
61302404513301052
7102243333004403
oct12262256740530
92458488135305
10711131382104
11254653142840
12b59a4564788
13520a0675180
14265c1814d3a
1513771449a6e
hexa592bbc158

711131382104 has 64 divisors (see below), whose sum is σ = 1567908951840. Its totient is φ = 298104284160.

The previous prime is 711131382103. The next prime is 711131382119. The reversal of 711131382104 is 401283131117.

It is a super-2 number, since 2×7111313821042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711131382103) 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 15 ways as a sum of consecutive naturals, for example, 971642 + ... + 1538294.

Almost surely, 2711131382104 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 711131382104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783954475920).

711131382104 is an abundant number, since it is smaller than the sum of its proper divisors (856777569736).

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

711131382104 is a wasteful number, since it uses less digits than its factorization.

711131382104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567780 (or 567776 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 711131382104 in words is "seven hundred eleven billion, one hundred thirty-one million, three hundred eighty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1097 1144 2194 4388 8776 12067 14261 24134 28522 48268 57044 96536 114088 156871 313742 566653 627484 1133306 1254968 2266612 4533224 6233183 7366489 12466366 14732978 24932732 29465956 49865464 58931912 81031379 162062758 324125516 621618341 648251032 1243236682 2486473364 4972946728 6837801751 8081038433 13675603502 16162076866 27351207004 32324153732 54702414008 64648307464 88891422763 177782845526 355565691052 711131382104