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64791524342013 = 37193179214330941
BaseRepresentation
bin11101011101101011100111…
…10010101111100011111101
322111102000020201202220220020
432232311303302233203331
531443021020212421023
6345444452042042353
716435014242021460
oct1656656362574375
9274360221686806
1064791524342013
111970aa2741a147
1273250464a93b9
132a1ca7869bc41
1411ddcd84b72d7
15775599be8de3
hex3aed73caf8fd

64791524342013 has 128 divisors (see below), whose sum is σ = 108690879283200. Its totient is φ = 33497267731200.

The previous prime is 64791524341931. The next prime is 64791524342021. The reversal of 64791524342013 is 31024342519746.

It is not a de Polignac number, because 64791524342013 - 28 = 64791524341757 is a prime.

It is a super-2 number, since 2×647915243420132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64791524346013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2094019123 + ... + 2094050063.

It is an arithmetic number, because the mean of its divisors is an integer number (849147494400).

Almost surely, 264791524342013 is an apocalyptic number.

It is an amenable number.

64791524342013 is a deficient number, since it is larger than the sum of its proper divisors (43899354941187).

64791524342013 is a wasteful number, since it uses less digits than its factorization.

64791524342013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33223.

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 64791524342013 in words is "sixty-four trillion, seven hundred ninety-one billion, five hundred twenty-four million, three hundred forty-two thousand, thirteen".

Divisors: 1 3 7 19 21 31 57 79 93 133 217 237 399 553 589 651 1501 1659 1767 2143 2449 4123 4503 6429 7347 10507 12369 15001 17143 30941 31521 40717 45003 46531 51429 66433 92823 122151 139593 169297 199299 216587 285019 325717 465031 507891 587879 649761 855057 959171 977151 1185079 1262227 1395093 1763637 2444339 2877513 3216643 3555237 3786681 4115153 5248207 6714197 7333017 8835589 9649929 12345459 15744621 17110373 18224249 20142591 22516501 26506767 36737449 46442441 51331119 54672747 66306563 67549503 75774509 99715933 110212347 127569743 139327323 198919689 227323527 299147799 325097087 382709229 464145941 530421563 698011531 975291261 1259824697 1392437823 1439715671 1591264689 2055503453 2094034593 3779474091 4319147013 5238218477 6166510359 8818772879 10078009697 14388524171 15714655431 26456318637 30234029091 36667529339 39054565607 43165572513 99526151063 110002588017 117163696821 162384772787 273381959249 298578453189 487154318361 696683057441 820145877747 1136693409509 2090049172323 3085310682953 3410080228527 9255932048859 21597174780671 64791524342013