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68085432954 = 23371161726539
BaseRepresentation
bin111111011010001101…
…010100001001111010
320111201222202100122000
4333122031110021322
52103414332323304
651140015041430
74630135426350
oct773215241172
9214658670560
1068085432954
11269694a7560
1211241810276
1365608b3546
14341c6397d0
151b874c6939
hexfda35427a

68085432954 has 128 divisors (see below), whose sum is σ = 188947814400. Its totient is φ = 17655200640.

The previous prime is 68085432937. The next prime is 68085432967. The reversal of 68085432954 is 45923458086.

68085432954 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 543 + 2 + 95 + 4 = 666.

It is a super-2 number, since 2×680854329542 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 68085432954.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2552217 + ... + 2578755.

It is an arithmetic number, because the mean of its divisors is an integer number (1476154800).

Almost surely, 268085432954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68085432954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94473907200).

68085432954 is an abundant number, since it is smaller than the sum of its proper divisors (120862381446).

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

68085432954 is a wasteful number, since it uses less digits than its factorization.

68085432954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27185 (or 27179 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 68085432954 in words is "sixty-eight billion, eighty-five million, four hundred thirty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 617 693 1234 1386 1851 2079 3702 4158 4319 5553 6787 8638 11106 12957 13574 16659 20361 25914 26539 33318 38871 40722 47509 53078 61083 77742 79617 95018 116613 122166 142527 159234 183249 185773 233226 238851 285054 291929 366498 371546 427581 477702 557319 583858 716553 855162 875787 1114638 1282743 1433106 1671957 1751574 2043503 2565486 2627361 3343914 4087006 5015871 5254722 6130509 7882083 10031742 12261018 15764166 16374563 18391527 32749126 36783054 49123689 55174581 98247378 110349162 114621941 147371067 180120193 229243882 294742134 343865823 360240386 442113201 540360579 687731646 884226402 1031597469 1080721158 1260841351 1621081737 2063194938 2521682702 3094792407 3242163474 3782524053 4863245211 6189584814 7565048106 9726490422 11347572159 22695144318 34042716477 68085432954