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247097473921 = 2926122812
BaseRepresentation
bin1110011000100000101…
…0000011101110000001
3212121210122111020212101
43212020022003232001
513022023423131141
6305303124230401
723565206605414
oct3461012035601
9777718436771
10247097473921
119588009a471
123ba8053b401
131a3bb94543c
14bd6113db7b
1566630cb531
hex3988283b81

247097473921 has 27 divisors (see below), whose sum is σ = 261105130299. Its totient is φ = 233830665600.

The previous prime is 247097473873. The next prime is 247097473999. The reversal of 247097473921 is 129374790742.

The square root of 247097473921 is 497089.

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

It can be written as a sum of positive squares in 13 ways, for example, as 212188288321 + 34909185600 = 460639^2 + 186840^2 .

It is not a de Polignac number, because 247097473921 - 27 = 247097473793 is a prime.

It is a super-2 number, since 2×2470974739212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247097473321) 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, 879350301 + ... + 879350581.

Almost surely, 2247097473921 is an apocalyptic number.

247097473921 is the 497089-th square number.

247097473921 is the 248545-th centered octagonal number.

It is an amenable number.

247097473921 is a deficient number, since it is larger than the sum of its proper divisors (14007656378).

247097473921 is an frugal number, since it uses more digits than its factorization.

247097473921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 55.

The spelling of 247097473921 in words is "two hundred forty-seven billion, ninety-seven million, four hundred seventy-three thousand, nine hundred twenty-one".

Divisors: 1 29 61 281 841 1769 3721 8149 17141 51301 78961 107909 236321 497089 1045601 2289869 3129361 4816621 14415581 30322429 66406201 139682009 293813881 879350441 4050778261 8520602549 247097473921