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5046042406405 = 5711213101907471
BaseRepresentation
bin100100101101101111110…
…0100001010111000000101
3122212101201101000201020111
41021123133210022320011
51130133243324001110
614422041521033021
71030364430521140
oct111333744127005
918771641021214
105046042406405
11167601842aa00
12695b59485771
132a7abbc3c520
14136330641057
158b3d491ae8a
hex496df90ae05

5046042406405 has 96 divisors (see below), whose sum is σ = 8272834182144. Its totient is φ = 2874864960000.

The previous prime is 5046042406387. The next prime is 5046042406421.

It is a happy number.

5046042406405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5046042406405 - 219 = 5046041882117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5106820 + ... + 6014290.

It is an arithmetic number, because the mean of its divisors is an integer number (86175356064).

Almost surely, 25046042406405 is an apocalyptic number.

5046042406405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5046042406405 is a deficient number, since it is larger than the sum of its proper divisors (3226791775739).

5046042406405 is a wasteful number, since it uses less digits than its factorization.

5046042406405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907619 (or 907608 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 5046042406405 in words is "five trillion, forty-six billion, forty-two million, four hundred six thousand, four hundred five".

Divisors: 1 5 7 11 13 35 55 65 77 91 101 121 143 385 455 505 605 707 715 847 1001 1111 1313 1573 3535 4235 5005 5555 6565 7777 7865 9191 11011 12221 14443 38885 45955 55055 61105 72215 85547 101101 158873 427735 505505 794365 907471 1112111 4537355 5560555 6352297 9982181 11797123 31761485 49910905 58985615 69875267 82579861 91654571 109803991 129768353 349376335 412899305 458272855 549019955 641581997 648841765 768627937 908378471 1008200281 1191509423 1427451883 3207909985 3843139685 4541892355 5041001405 5957547115 7057401967 7137259415 8340565961 9992163181 11090203091 13106603653 35287009835 41702829805 49960815905 55451015455 65533018265 77631421637 91746225571 144172640183 388157108185 458731127855 720863200915 1009208481281 5046042406405