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26428955411313 = 33713192531223681
BaseRepresentation
bin1100000001001011110000…
…11111111100001101110001
310110120120202100021201122000
412000211320133330031301
511431003000041130223
6132113143340204213
75365300103252640
oct600457037741561
9113516670251560
1026428955411313
11846a503367984
122b6a137839669
131199316ac7730
1467524da21357
1530c7277a3543
hex1809787fc371

26428955411313 has 128 divisors (see below), whose sum is σ = 50746109030400. Its totient is φ = 13201557811200.

The previous prime is 26428955411273. The next prime is 26428955411317. The reversal of 26428955411313 is 31311455982462.

26428955411313 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 8 + 95 + 541 + 1 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 26428955411313 - 26 = 26428955411249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26428955411313.

It is not an unprimeable number, because it can be changed into a prime (26428955411317) 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 127 ways as a sum of consecutive naturals, for example, 118042833 + ... + 118266513.

It is an arithmetic number, because the mean of its divisors is an integer number (396453976800).

Almost surely, 226428955411313 is an apocalyptic number.

It is an amenable number.

26428955411313 is a deficient number, since it is larger than the sum of its proper divisors (24317153619087).

26428955411313 is a wasteful number, since it uses less digits than its factorization.

26428955411313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226260 (or 226254 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 26428955411313 in words is "twenty-six trillion, four hundred twenty-eight billion, nine hundred fifty-five million, four hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 273 351 399 513 741 819 1197 1729 2223 2457 2531 3591 5187 6669 7593 15561 17717 22779 32903 46683 48089 53151 68337 98709 144267 159453 223681 230321 296127 336623 432801 478359 625157 671043 690963 888381 1009869 1298403 1565767 1875471 2013129 2072889 2907853 3029607 4249939 4376099 4697301 5626413 6039387 6218667 8723559 9088821 12749817 13128297 14091903 16879239 20354971 26170677 29749573 38249451 39384891 42275709 55249207 61064913 78512031 89248719 114748353 118154673 165747621 183194739 267746157 386744449 497242863 549584217 566136611 803238471 1160233347 1491728589 1698409833 3480700041 3962956277 5095229499 7359775943 10442100123 10756595609 11888868831 15285688497 22079327829 32269786827 35666606493 51518431601 66237983487 75296169263 96809360481 106999819479 139835742917 154555294803 198713950461 225888507789 290428081443 419507228751 463665884409 677665523367 978850200419 1258521686253 1390997653227 2032996570101 2936550601257 3775565058759 8809651803771 26428955411313