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1364412305046 = 2372943161916091
BaseRepresentation
bin10011110110101101010…
…011111000111010010110
311211102210020110120121210
4103312231103320322112
5134323304022230141
62522445150522250
7200401260144240
oct23665523707226
94742706416553
101364412305046
1148670a1a334a
121a0522b06386
139b881a053cb
144a07603b090
1525758be2916
hex13dad4f8e96

1364412305046 has 128 divisors (see below), whose sum is σ = 3303468748800. Its totient is φ = 367386445440.

The previous prime is 1364412305029. The next prime is 1364412305077. The reversal of 1364412305046 is 6405032144631.

It is a junction number, because it is equal to n+sod(n) for n = 1364412304995 and 1364412305013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84785461 + ... + 84801551.

It is an arithmetic number, because the mean of its divisors is an integer number (25808349600).

Almost surely, 21364412305046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364412305046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651734374400).

1364412305046 is an abundant number, since it is smaller than the sum of its proper divisors (1939056443754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1364412305046 is a wasteful number, since it uses less digits than its factorization.

1364412305046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17794.

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 1364412305046 its reverse (6405032144631), we get a palindrome (7769444449677).

The spelling of 1364412305046 in words is "one trillion, three hundred sixty-four billion, four hundred twelve million, three hundred five thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 29 42 43 58 86 87 129 174 203 258 301 406 602 609 903 1218 1247 1619 1806 2494 3238 3741 4857 7482 8729 9714 11333 16091 17458 22666 26187 32182 33999 46951 48273 52374 67998 69617 93902 96546 112637 139234 140853 208851 225274 281706 328657 337911 417702 466639 487319 657314 675822 691913 933278 974638 985971 1383826 1399917 1461957 1971942 2018893 2075739 2799834 2923914 3266473 4037786 4151478 4843391 6056679 6532946 9686782 9799419 12113358 14132251 14530173 19598838 20065477 26051329 28264502 29060346 40130954 42396753 52102658 60196431 78153987 84793506 120392862 140458339 156307974 182359303 280916678 364718606 421375017 547077909 755488541 842750034 1094155818 1120207147 1510977082 2240414294 2266465623 3360621441 4532931246 5288419787 6721242882 7841450029 10576839574 15682900058 15865259361 23524350087 31730518722 32486007263 47048700174 64972014526 97458021789 194916043578 227402050841 454804101682 682206152523 1364412305046