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68235653286 = 233173110692243
BaseRepresentation
bin111111100011001010…
…010111000010100110
320112010110102100012000
4333203022113002212
52104221311401121
651202542510130
74633641324453
oct774312270246
9215113370160
1068235653286
1126a3627a299
1211283b95346
136585a5b808
14343458082a
151b9579b526
hexfe32970a6

68235653286 has 128 divisors (see below), whose sum is σ = 165962649600. Its totient is φ = 20688099840.

The previous prime is 68235653279. The next prime is 68235653309.

68235653286 is a `hidden beast` number, since 6 + 8 + 2 + 356 + 5 + 3 + 286 = 666.

68235653286 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×682356532862 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30420481 + ... + 30422723.

It is an arithmetic number, because the mean of its divisors is an integer number (1296583200).

Almost surely, 268235653286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68235653286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82981324800).

68235653286 is an abundant number, since it is smaller than the sum of its proper divisors (97726996314).

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

68235653286 is a wasteful number, since it uses less digits than its factorization.

68235653286 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3365 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 68235653286 in words is "sixty-eight billion, two hundred thirty-five million, six hundred fifty-three thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1069 1581 1674 2138 2243 3162 3207 4486 4743 6414 6729 9486 9621 13458 14229 18173 19242 20187 28458 28863 33139 36346 38131 40374 54519 57726 60561 66278 69533 76262 99417 109038 114393 121122 139066 163557 198834 208599 228786 298251 327114 343179 417198 490671 563363 596502 625797 686358 894753 981342 1029537 1126726 1182061 1251594 1690089 1789506 1877391 2059074 2364122 2397767 3380178 3546183 3754782 4795534 5070267 7092366 7193301 10140534 10638549 14386602 15210801 21277098 21579903 30421602 31915647 40762039 43159806 63831294 64739709 74330777 81524078 122286117 129479418 148661554 222992331 244572234 366858351 445984662 668976993 733716702 1100575053 1263623209 1337953986 2006930979 2201150106 2527246418 3790869627 4013861958 7581739254 11372608881 22745217762 34117826643 68235653286