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68788656027 = 3572131726141
BaseRepresentation
bin100000000010000011…
…1111001011110011011
320120112222222210100000
41000010013321132123
52111334343443102
651333455344043
74653434633400
oct1000407713633
9216488883300
1068788656027
112719a448453
12113b9222023
1366434b0980
143487bb22a7
151bc90d401c
hex10041f979b

68788656027 has 144 divisors (see below), whose sum is σ = 136683342432. Its totient is φ = 34148459520.

The previous prime is 68788656019. The next prime is 68788656043. The reversal of 68788656027 is 72065688786.

68788656027 is a `hidden beast` number, since 68 + 7 + 8 + 8 + 6 + 560 + 2 + 7 = 666.

It is not a de Polignac number, because 68788656027 - 23 = 68788656019 is a prime.

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 (68788651027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2618377 + ... + 2644517.

It is an arithmetic number, because the mean of its divisors is an integer number (949189878).

Almost surely, 268788656027 is an apocalyptic number.

68788656027 is a deficient number, since it is larger than the sum of its proper divisors (67894686405).

68788656027 is a wasteful number, since it uses less digits than its factorization.

68788656027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200 (or 26181 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 68788656027 in words is "sixty-eight billion, seven hundred eighty-eight million, six hundred fifty-six thousand, twenty-seven".

Divisors: 1 3 7 9 13 17 21 27 39 49 51 63 81 91 117 119 147 153 189 221 243 273 351 357 441 459 567 637 663 819 833 1053 1071 1323 1377 1547 1701 1911 1989 2457 2499 3159 3213 3969 4131 4641 5733 5967 7371 7497 9639 10829 11907 13923 17199 17901 22113 22491 26141 28917 32487 41769 51597 53703 67473 78423 97461 125307 154791 182987 202419 235269 292383 339833 375921 444397 548961 705807 877149 1019499 1280909 1333191 1646883 2117421 2378831 2631447 3058497 3110779 3842727 3999573 4940649 5777161 6352263 7136493 9175491 9332337 11528181 11998719 14821947 16651817 17331483 21409479 21775453 27526473 27997011 34584543 35996157 40440127 44465841 49955451 51994449 64228437 65326359 82579419 83991033 103753629 107988471 121320381 149866353 155983347 192685311 195979077 251973099 283080889 311260887 363961143 449599059 467950041 578055933 587937231 755919297 849242667 1091883429 1348797177 1403850123 1763811693 2547728001 3275650287 4046391531 5291435079 7643184003 9826950861 22929552009 68788656027