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168424819684968 = 233711238338245477
BaseRepresentation
bin100110010010111001110101…
…100011000111011001101000
3211002100020220021021110012110
4212102321311203013121220
5134033433012314404333
61354113143301242320
750322202020062640
oct4622716543073150
9732306807243173
10168424819684968
1149735623982550
1216a81a374033a0
1372c9513ca8a32
142d83b3a3d7520
1514711b1b37063
hex992e758c7668

168424819684968 has 128 divisors (see below), whose sum is σ = 525180784619520. Its totient is φ = 43728347439360.

The previous prime is 168424819684873. The next prime is 168424819685011. The reversal of 168424819684968 is 869486918424861.

168424819684968 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1684248196849683 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14718955 + ... + 23526522.

It is an arithmetic number, because the mean of its divisors is an integer number (4102974879840).

Almost surely, 2168424819684968 is an apocalyptic number.

It is an amenable number.

168424819684968 is an abundant number, since it is smaller than the sum of its proper divisors (356755964934552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168424819684968 is a wasteful number, since it uses less digits than its factorization.

168424819684968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38247887 (or 38247883 counting only the distinct ones).

The product of its digits is 9172942848, while the sum is 84.

The spelling of 168424819684968 in words is "one hundred sixty-eight trillion, four hundred twenty-four billion, eight hundred nineteen million, six hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2383 4766 7149 9532 14298 16681 19064 26213 28596 33362 50043 52426 57192 66724 78639 100086 104852 133448 157278 183491 200172 209704 314556 366982 400344 550473 629112 733964 1100946 1467928 2201892 4403784 38245477 76490954 114736431 152981908 229472862 267718339 305963816 420700247 458945724 535436678 803155017 841400494 917891448 1070873356 1262100741 1606310034 1682800988 2141746712 2524201482 2944901729 3212620068 3365601976 5048402964 5889803458 6425240136 8834705187 10096805928 11779606916 17669410374 23559213832 35338820748 70677641496 91138971691 182277943382 273416915073 364555886764 546833830146 637972801837 729111773528 1002528688601 1093667660292 1275945603674 1913918405511 2005057377202 2187335320584 2551891207348 3007586065803 3827836811022 4010114754404 5103782414696 6015172131606 7017700820207 7655673622044 8020229508808 12030344263212 14035401640414 15311347244088 21053102460621 24060688526424 28070803280828 42106204921242 56141606561656 84212409842484 168424819684968