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15455711041 = 1727121032
BaseRepresentation
bin11100110010011101…
…10110111101000001
31110220010122110201021
432121032312331001
5223123130223131
611033353305441
71055002243021
oct163116667501
943803573637
1015455711041
116611389511
122bb4105281
1315c4095364
14a6896ba81
15606d2ee11
hex3993b6f41

15455711041 has 27 divisors (see below), whose sum is σ = 16816099683. Its totient is φ = 14202431040.

The previous prime is 15455711027. The next prime is 15455711053. The reversal of 15455711041 is 14011755451.

The square root of 15455711041 is 124321.

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., 12032993025 + 3422718016 = 109695^2 + 58504^2 .

It is not a de Polignac number, because 15455711041 - 213 = 15455702849 is a prime.

It is a super-3 number, since 3×154557110413 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15455710988 and 15455711006.

It is not an unprimeable number, because it can be changed into a prime (15455711081) 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 26 ways as a sum of consecutive naturals, for example, 150055396 + ... + 150055498.

Almost surely, 215455711041 is an apocalyptic number.

15455711041 is the 124321-st square number.

15455711041 is the 62161-st centered octagonal number.

It is an amenable number.

15455711041 is a deficient number, since it is larger than the sum of its proper divisors (1360388642).

15455711041 is an frugal number, since it uses more digits than its factorization.

15455711041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 34.

The spelling of 15455711041 in words is "fifteen billion, four hundred fifty-five million, seven hundred eleven thousand, forty-one".

Divisors: 1 17 71 103 289 1207 1751 5041 7313 10609 20519 29767 85697 124321 180353 519223 753239 1456849 2113457 3066001 8826791 12805063 53479969 150055447 217686071 909159473 15455711041