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51672111127615 = 5112971660769061
BaseRepresentation
bin10111011111110110110011…
…10101000001110000111111
320202221210202021020120122101
423233323121311001300333
523233043440422040430
6301521501245525531
713612121040455626
oct1357733165016077
9222853667216571
1051672111127615
1115512023708010
1259664995738a7
1322aa8752793a4
14ca8d2d0526bd
155e919bd68dca
hex2efed9d41c3f

51672111127615 has 64 divisors (see below), whose sum is σ = 70973370961920. Its totient is φ = 35766892224000.

The previous prime is 51672111127589. The next prime is 51672111127643.

51672111127615 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51672111127615 - 25 = 51672111127583 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748175185 + ... + 748244245.

It is an arithmetic number, because the mean of its divisors is an integer number (1108958921280).

Almost surely, 251672111127615 is an apocalyptic number.

51672111127615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51672111127615 is a deficient number, since it is larger than the sum of its proper divisors (19301259834305).

51672111127615 is a wasteful number, since it uses less digits than its factorization.

51672111127615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75784.

The product of its digits is 176400, while the sum is 46.

The spelling of 51672111127615 in words is "fifty-one trillion, six hundred seventy-two billion, one hundred eleven million, one hundred twenty-seven thousand, six hundred fifteen".

Divisors: 1 5 11 29 55 71 145 319 355 781 1595 2059 3905 6607 10295 22649 33035 69061 72677 113245 191603 345305 363385 469097 759671 958015 2002769 2107633 2345485 3798355 4903331 5160067 10013845 10538165 13603813 22030459 24516655 25800335 53936641 68019065 110152295 142196599 149641943 269683205 456286027 710982995 748209715 1564162589 2281430135 5019146297 7820812945 13232294783 25095731485 32396307917 66161473915 145555242613 161981539585 356359387087 727776213065 939492929593 1781796935435 4697464647965 10334422225523 51672111127615