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68142006808056 = 23338324115771247
BaseRepresentation
bin11110111111001100011000…
…00111000010110111111000
322221021022102121122012201000
433133212030013002313320
532412414312220324211
6400532001125125000
720232045311052426
oct1737461407026770
9287238377565630
1068142006808056
111a791954426035
127786464259760
132c039c0a2370c
1412b813ad52116
157d27e39e4656
hex3df98c1c2df8

68142006808056 has 128 divisors (see below), whose sum is σ = 192358757606400. Its totient is φ = 22347224732160.

The previous prime is 68142006808027. The next prime is 68142006808129. The reversal of 68142006808056 is 65080860024186.

68142006808056 is a `hidden beast` number, since 6 + 81 + 420 + 0 + 68 + 0 + 80 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68142006807993 and 68142006808011.

It is a congruent number.

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, 3564976 + ... + 12206271.

It is an arithmetic number, because the mean of its divisors is an integer number (1502802793800).

Almost surely, 268142006808056 is an apocalyptic number.

It is an amenable number.

68142006808056 is an abundant number, since it is smaller than the sum of its proper divisors (124216750798344).

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

68142006808056 is a wasteful number, since it uses less digits than its factorization.

68142006808056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15771586 (or 15771576 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 68142006808056 in words is "sixty-eight trillion, one hundred forty-two billion, six million, eight hundred eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 241 249 332 482 498 664 723 747 964 996 1446 1494 1928 1992 2169 2241 2892 2988 4338 4482 5784 5976 6507 8676 8964 13014 17352 17928 20003 26028 40006 52056 60009 80012 120018 160024 180027 240036 360054 480072 540081 720108 1080162 1440216 2160324 4320648 15771247 31542494 47313741 63084988 94627482 126169976 141941223 189254964 283882446 378509928 425823669 567764892 851647338 1135529784 1309013501 1703294676 2618027002 3406589352 3800870527 3927040503 5236054004 7601741054 7854081006 10472108008 11402611581 11781121509 15203482108 15708162012 22805223162 23562243018 30406964216 31416324024 34207834743 35343364527 45610446324 47124486036 68415669486 70686729054 91220892648 94248972072 102623504229 136831338972 141373458108 205247008458 273662677944 282746916216 315472253741 410494016916 630944507482 820988033832 946416761223 1261889014964 1892833522446 2523778029928 2839250283669 3785667044892 5678500567338 7571334089784 8517750851007 11357001134676 17035501702014 22714002269352 34071003404028 68142006808056