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68155196743200 = 2535274177971237
BaseRepresentation
bin11110111111100100111100…
…10010101001111000100000
322221022120110211211100012110
433133302132102221320200
532413123320331240300
6400542022023155320
720233023211465020
oct1737623622517040
9287276424740173
1068155196743200
111a797502839586
127788b255a5b40
132c05013567478
1412b8a2c9dda80
157d2d16963550
hex3dfc9e4a9e20

68155196743200 has 288 divisors, whose sum is σ = 253598291420544. Its totient is φ = 15574585098240.

The previous prime is 68155196743171. The next prime is 68155196743211. The reversal of 68155196743200 is 234769155186.

It is a super-4 number, since 4×681551967432004 (a number of 56 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69687982 + ... + 70659218.

It is an arithmetic number, because the mean of its divisors is an integer number (880549622988).

It is a 1-persistent number, because it is pandigital, but 2⋅68155196743200 = 136310393486400 is not.

Almost surely, 268155196743200 is an apocalyptic number.

68155196743200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68155196743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126799145710272).

68155196743200 is an abundant number, since it is smaller than the sum of its proper divisors (185443094677344).

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

68155196743200 is a wasteful number, since it uses less digits than its factorization.

68155196743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975444 (or 975431 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 68155196743200 in words is "sixty-eight trillion, one hundred fifty-five billion, one hundred ninety-six million, seven hundred forty-three thousand, two hundred".