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68309142546132 = 223213928148579743
BaseRepresentation
bin11111000100000011101100…
…01011010010011011010100
322221212021211121000102010100
433202001312023102123110
532423134110442434012
6401140441544054100
720250113142304635
oct1742016613223324
9287767747012110
1068309142546132
111a846821173894
1277b2929764330
132c166a8440757
1412c227443788c
157d6d26b5e8dc
hex3e20762d26d4

68309142546132 has 72 divisors (see below), whose sum is σ = 174531474673920. Its totient is φ = 22525454770560.

The previous prime is 68309142546013. The next prime is 68309142546149. The reversal of 68309142546132 is 23164524190386.

It is a happy number.

68309142546132 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 9 + 14 + 2 + 5 + 4 + 613 + 2 = 666.

It is a super-2 number, since 2×683091425461322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22883748 + ... + 25695995.

It is an arithmetic number, because the mean of its divisors is an integer number (2424048259360).

Almost surely, 268309142546132 is an apocalyptic number.

It is an amenable number.

68309142546132 is an abundant number, since it is smaller than the sum of its proper divisors (106222332127788).

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

68309142546132 is a wasteful number, since it uses less digits than its factorization.

68309142546132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48580173 (or 48580168 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 68309142546132 in words is "sixty-eight trillion, three hundred nine billion, one hundred forty-two million, five hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 281 417 556 562 834 843 1124 1251 1668 1686 2502 2529 3372 5004 5058 10116 39059 78118 117177 156236 234354 351531 468708 703062 1406124 48579743 97159486 145739229 194318972 291478458 437217687 582956916 874435374 1748870748 6752584277 13505168554 13650907783 20257752831 27010337108 27301815566 40515505662 40952723349 54603631132 60773258493 81031011324 81905446698 121546516986 122858170047 163810893396 243093033972 245716340094 491432680188 1897476181837 3794952363674 5692428545511 7589904727348 11384857091022 17077285636533 22769714182044 34154571273066 68309142546132