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712925233801 = 11259213012
BaseRepresentation
bin10100101111111011010…
…01111100001010001001
32112011011222121022020221
422113331221330022021
543140032324440201
61303302513550041
7102335644333624
oct12277551741211
92464158538227
10712925233801
11255393788100
12b6205275321
13522c81c1891
1426711b6adbb
1513828b8b4a1
hexa5fda7c289

712925233801 has 27 divisors (see below), whose sum is σ = 797748699559. Its totient is φ = 636639146000.

The previous prime is 712925233793. The next prime is 712925233807. The reversal of 712925233801 is 108332529217.

The square root of 712925233801 is 844349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1095543801 + 711829690000 = 33099^2 + 843700^2 .

It is not a de Polignac number, because 712925233801 - 23 = 712925233793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712925233807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 547981851 + ... + 547983151.

Almost surely, 2712925233801 is an apocalyptic number.

712925233801 is the 844349-th square number.

712925233801 is the 422175-th centered octagonal number.

It is an amenable number.

712925233801 is a deficient number, since it is larger than the sum of its proper divisors (84823465758).

712925233801 is an frugal number, since it uses more digits than its factorization.

712925233801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 712925233801 in words is "seven hundred twelve billion, nine hundred twenty-five million, two hundred thirty-three thousand, eight hundred one".

Divisors: 1 11 59 121 649 1301 3481 7139 14311 38291 76759 157421 421201 844349 1692601 4528781 9287839 18618611 49816591 99863459 204804721 547982501 1098498049 5891944081 12083478539 64811384891 712925233801