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39968666979507 = 33719103317836043
BaseRepresentation
bin10010001011001111011100…
…01100101000110010110011
312020111222010010022122121000
421011213232030220302303
520214321312221321012
6221001204020533043
711263432553545530
oct1105475614506263
9166458103278530
1039968666979507
111180a686590012
124596241851183
13193c04bca5956
149c26cadd5d87
15494a2407dddc
hex2459ee328cb3

39968666979507 has 128 divisors (see below), whose sum is σ = 71354245529600. Its totient is φ = 21600528567552.

The previous prime is 39968666979503. The next prime is 39968666979529. The reversal of 39968666979507 is 70597966686993.

39968666979507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39968666979507 - 22 = 39968666979503 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39968666979503) 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, 6614040828 + ... + 6614046870.

It is an arithmetic number, because the mean of its divisors is an integer number (557455043200).

Almost surely, 239968666979507 is an apocalyptic number.

39968666979507 is a deficient number, since it is larger than the sum of its proper divisors (31385578550093).

39968666979507 is a wasteful number, since it uses less digits than its factorization.

39968666979507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8894 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 49997969280, while the sum is 90.

The spelling of 39968666979507 in words is "thirty-nine trillion, nine hundred sixty-eight billion, six hundred sixty-six million, nine hundred seventy-nine thousand, five hundred seven".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1033 1197 1783 3099 3591 5349 6043 7231 9297 12481 16047 18129 19627 21693 27891 33877 37443 42301 48141 54387 58881 65079 101631 112329 114817 126903 137389 163161 176643 195237 237139 304893 336987 344451 380709 412167 529929 711417 803719 914679 1033353 1142127 1236501 1841839 2134251 2411157 3100059 3709503 5525517 6242419 6402753 7233471 10774669 12892873 16576551 18727257 21700413 32324007 34994941 38678619 43696933 49729653 56181771 75422683 96972021 104984823 116035857 118605961 131090799 168545313 204718711 226268049 244964587 290916063 314954469 348107571 355817883 393272397 614156133 678804147 734893761 830241727 944863407 1067453649 1179817191 1433030977 1842468399 2036412441 2204681283 2490725181 3202360947 4299092931 5527405197 6614043849 7472175543 11130233077 12897278793 22416526629 33390699231 38691836379 77911631539 100172097693 211474428463 233734894617 300516293079 634423285389 701204683851 1480320999241 1903269856167 2103614051553 4440962997723 5709809568501 13322888993169 39968666979507