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136568506973424 = 243171923321377711
BaseRepresentation
bin11111000011010101010101…
…010110000111110011110000
3122220112211012001201101100120
4133003111111112013303300
5120400014300241122144
61202242412254250240
740523514625566651
oct3703252526076360
9586484161641316
10136568506973424
113a573418942189
1213397a847b6980
135b2847ca8a1c6
1425a1d457bb528
1510bc6d8656e19
hex7c3555587cf0

136568506973424 has 160 divisors (see below), whose sum is σ = 393233727144960. Its totient is φ = 40588172697600.

The previous prime is 136568506973419. The next prime is 136568506973491. The reversal of 136568506973424 is 424379605865631.

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, 361379929 + ... + 361757639.

It is an arithmetic number, because the mean of its divisors is an integer number (2457710794656).

It is a 1-persistent number, because it is pandigital, but 2⋅136568506973424 = 273137013946848 is not.

Almost surely, 2136568506973424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136568506973424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196616863572480).

136568506973424 is an abundant number, since it is smaller than the sum of its proper divisors (256665220171536).

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

136568506973424 is a wasteful number, since it uses less digits than its factorization.

136568506973424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401079 (or 401073 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 69.

The spelling of 136568506973424 in words is "one hundred thirty-six trillion, five hundred sixty-eight billion, five hundred six million, nine hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 23321 46642 69963 93284 139926 186568 279852 373136 377711 396457 443099 559704 755422 792914 886198 1119408 1133133 1189371 1329297 1510844 1585828 1772396 2266266 2378742 2658594 3021688 3171656 3544792 4532532 4757484 5317188 6043376 6343312 6421087 7089584 7176509 7532683 9065064 9514968 10634376 12842174 14353018 15065366 18130128 19029936 19263261 21268752 21529527 22598049 25684348 28706036 30130732 38526522 43059054 45196098 51368696 57412072 60261464 77053044 86118108 90392196 102737392 114824144 120522928 122000653 154106088 172236216 180784392 244001306 308212176 344472432 361568784 366001959 488002612 732003918 976005224 1464007836 1952010448 2928015672 5856031344 8808598231 17617196462 26425794693 35234392924 52851589386 70468785848 105703178772 140937571696 149746169927 167363366389 211406357544 299492339854 334726732778 422812715088 449238509781 502090099167 598984679708 669453465556 898477019562 1004180198334 1197969359416 1338906931112 1796954039124 2008360396668 2395938718832 2677813862224 2845177228613 3593908078248 4016720793336 5690354457226 7187816156496 8033441586672 8535531685839 11380708914452 17071063371678 22761417828904 34142126743356 45522835657808 68284253486712 136568506973424