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8420795616681 = 32721930710333169
BaseRepresentation
bin111101010001001111010…
…0010000000110110101001
31002211000112201120120000100
41322202132202000312221
52100431242134213211
625524243214300013
71526245110513300
oct172423642006651
932730481516010
108420795616681
11275726a6611a8
12b4000b4b7609
134911016b6b16
142117d6671437
15e909e388156
hex7a89e880da9

8420795616681 has 144 divisors (see below), whose sum is σ = 14961623476800. Its totient is φ = 4537946198016.

The previous prime is 8420795616619. The next prime is 8420795616691. The reversal of 8420795616681 is 1866165970248.

8420795616681 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 7 + 9 + 5 + 616 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 8420795616681 - 26 = 8420795616617 is a prime.

It is a super-2 number, since 2×84207956166812 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8420795616691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2657239065 + ... + 2657242233.

Almost surely, 28420795616681 is an apocalyptic number.

It is an amenable number.

8420795616681 is a deficient number, since it is larger than the sum of its proper divisors (6540827860119).

8420795616681 is a wasteful number, since it uses less digits than its factorization.

8420795616681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 8420795616681 in words is "eight trillion, four hundred twenty billion, seven hundred ninety-five million, six hundred sixteen thousand, six hundred eighty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 307 399 441 921 931 1033 1197 2149 2763 2793 3099 3169 5833 6447 7231 8379 9297 9507 15043 17499 19341 19627 21693 22183 28521 40831 45129 50617 52497 58881 60211 65079 66549 122493 135387 137389 151851 155281 176643 180633 199647 285817 317131 367479 412167 421477 455553 465843 541899 857451 951393 961723 972883 1236501 1264431 1397529 2219917 2572353 2854179 2885169 2918649 2950339 3273577 3793293 6025489 6659751 6810181 8655507 8755947 8851017 9820731 15539419 18076467 18484777 19979253 20430543 22915039 26553051 29462193 42178423 46618257 47671267 54229401 55454331 61291629 62197963 68745117 126535269 129393439 139854771 143013801 160405273 166362993 186593889 206235351 295248961 379605807 388180317 429041403 435385741 481215819 559781667 885746883 905754073 1004988139 1164540951 1306157223 1443647457 2657240649 2717262219 3014964417 3047700187 3918471669 7034916973 8151786657 9044893251 9143100561 19094774641 21104750919 27429301683 49244418811 57284323923 63314252757 133663422487 147733256433 171852971769 400990267461 443199769299 935643957409 1202970802383 2806931872227 8420795616681