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13127406603718 = 21117283186113367
BaseRepresentation
bin1011111100000111011001…
…1010000100110111000110
31201110222010112111121000011
42333001312122010313012
53210034412042304333
643530351454140434
72523265242020551
oct277016632046706
951428115447004
1013127406603718
114201335884910
121580219ab171a
13742ba848ca24
14335526ccb698
1517b7199c19cd
hexbf076684dc6

13127406603718 has 96 divisors (see below), whose sum is σ = 23108208415488. Its totient is φ = 5544943910400.

The previous prime is 13127406603697. The next prime is 13127406603719. The reversal of 13127406603718 is 81730660472131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127406603719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982069071 + ... + 982082437.

It is an arithmetic number, because the mean of its divisors is an integer number (240710504328).

Almost surely, 213127406603718 is an apocalyptic number.

13127406603718 is a deficient number, since it is larger than the sum of its proper divisors (9980801811770).

13127406603718 is a wasteful number, since it uses less digits than its factorization.

13127406603718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15358 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 13127406603718 in words is "thirteen trillion, one hundred twenty-seven billion, four hundred six million, six hundred three thousand, seven hundred eighteen".

Divisors: 1 2 11 17 22 34 83 166 187 289 374 578 913 1411 1826 1861 2822 3179 3722 6358 13367 15521 20471 23987 26734 31042 31637 40942 47974 63274 147037 154463 227239 263857 294074 308926 348007 454478 527714 537829 696014 1075658 1109461 1699093 2218922 2499629 2625871 3398186 3863063 4999258 5251742 5916119 7726126 11832238 12204071 18860837 24408142 24875987 28884581 37721674 42493693 44639807 49751974 57769162 84987386 89279614 207469207 273635857 320634229 414938414 422891779 491037877 547271714 641268458 845783558 982075754 2064706921 3526976519 4129413842 4651809569 7053953038 7189160243 9303619138 14378320486 22711776131 35100017657 45423552262 70200035314 79080762673 158161525346 386100194227 596700300169 772200388454 1193400600338 6563703301859 13127406603718