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5144662664415 = 335739188927299
BaseRepresentation
bin100101011011101010111…
…0010100110010011011111
3200012211021101102220022000
41022313111302212103133
51133242232120230130
614535231515253343
71040455352056221
oct112672562462337
920184241386260
105144662664415
111703925a5346a
126b10a114a253
132b41a7944191
1413b008344411
158dc57963260
hex4add5ca64df

5144662664415 has 64 divisors (see below), whose sum is σ = 9163627200000. Its totient is φ = 2738556324864.

The previous prime is 5144662664413. The next prime is 5144662664429.

5144662664415 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 6 + 626 + 6 + 4 + 4 + 1 + 5 = 666.

5144662664415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5144662664415 - 21 = 5144662664413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144662664413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188442436 + ... + 188469734.

It is an arithmetic number, because the mean of its divisors is an integer number (143181675000).

Almost surely, 25144662664415 is an apocalyptic number.

5144662664415 is a deficient number, since it is larger than the sum of its proper divisors (4018964535585).

5144662664415 is a wasteful number, since it uses less digits than its factorization.

5144662664415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29941 (or 29935 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 5144662664415 in words is "five trillion, one hundred forty-four billion, six hundred sixty-two million, six hundred sixty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 739 1889 2217 3695 5667 6651 9445 11085 17001 19953 27299 28335 33255 51003 81897 85005 99765 136495 245691 255015 409485 737073 1228455 1395971 3685365 4187913 6979855 12563739 20173961 20939565 37691217 51567811 60521883 62818695 100869805 154703433 181565649 188456085 257839055 302609415 464110299 544696947 773517165 907828245 1392330897 2320551495 2723484735 6961654485 38108612329 114325836987 190543061645 342977510961 571629184935 1028932532883 1714887554805 5144662664415