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5105432200064 = 27710156416109
BaseRepresentation
bin100101001001011001101…
…1110010000001110000000
3200002002000100101211020212
41022102303132100032000
51132121411120400224
614505223030253252
71034566240450460
oct112226336201600
920062010354225
105105432200064
1116992244189a9
126a5572ab7228
132b0595139371
14139166051ba0
158cc0d7d6d0e
hex4a4b3790380

5105432200064 has 64 divisors (see below), whose sum is σ = 11739064168800. Its totient is φ = 2166378547200.

The previous prime is 5105432200051. The next prime is 5105432200069. The reversal of 5105432200064 is 4600022345015.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5105432200064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105432200069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28117559 + ... + 28298550.

Almost surely, 25105432200064 is an apocalyptic number.

It is an amenable number.

5105432200064 is an abundant number, since it is smaller than the sum of its proper divisors (6633631968736).

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

5105432200064 is a wasteful number, since it uses less digits than its factorization.

5105432200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56416231 (or 56416219 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 5105432200064 its reverse (4600022345015), we get a palindrome (9705454545079).

The spelling of 5105432200064 in words is "five trillion, one hundred five billion, four hundred thirty-two million, two hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 707 808 896 1414 1616 2828 3232 5656 6464 11312 12928 22624 45248 90496 56416109 112832218 225664436 394912763 451328872 789825526 902657744 1579651052 1805315488 3159302104 3610630976 5698027009 6318604208 7221261952 11396054018 12637208416 22792108036 25274416832 39886189063 45584216072 50548833664 79772378126 91168432144 159544756252 182336864288 319089512504 364673728576 638179025008 729347457152 1276358050016 2552716100032 5105432200064