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68505511366656 = 21233721321931127
BaseRepresentation
bin11111001001110001011101…
…01010111001000000000000
322222120001200212121001211000
433210320232222321000000
532434343241402213111
6401410555241252000
720300234301606600
oct1744705652710000
9288501625531730
1068505511366656
111a91202a260111
1278249b1194000
132c2c071383a00
1412cb982170c00
157dbebb413c56
hex3e4e2eab9000

68505511366656 has 3744 divisors, whose sum is σ = 279970843852800. Its totient is φ = 16433900421120.

The previous prime is 68505511366559. The next prime is 68505511366679. The reversal of 68505511366656 is 65666311550586.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 68505511366593 and 68505511366602.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 539413475265 + ... + 539413475391.

Almost surely, 268505511366656 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 68505511366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139985421926400).

68505511366656 is an abundant number, since it is smaller than the sum of its proper divisors (211465332486144).

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

68505511366656 is a wasteful number, since it uses less digits than its factorization.

68505511366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 68505511366656 in words is "sixty-eight trillion, five hundred five billion, five hundred eleven million, three hundred sixty-six thousand, six hundred fifty-six".