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68585648076 = 223411473311237
BaseRepresentation
bin111111111000000001…
…011110111111001100
320120000211222220210000
4333320001132333030
52110430411214301
651301404244300
74645421250441
oct777001367714
9216024886700
1068585648076
11270a58a0590
1211361240690
13661041251a
143468c499c8
151bb6383786
hexff805efcc

68585648076 has 240 divisors, whose sum is σ = 200523197952. Its totient is φ = 20263478400.

The previous prime is 68585648041. The next prime is 68585648083. The reversal of 68585648076 is 67084658586.

68585648076 is a `hidden beast` number, since 6 + 8 + 5 + 85 + 6 + 480 + 76 = 666.

It is a super-2 number, since 2×685856480762 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55444530 + ... + 55445766.

Almost surely, 268585648076 is an apocalyptic number.

68585648076 is a gapful number since it is divisible by the number (66) 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 68585648076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100261598976).

68585648076 is an abundant number, since it is smaller than the sum of its proper divisors (131937549876).

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

68585648076 is a wasteful number, since it uses less digits than its factorization.

68585648076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 68585648076 in words is "sixty-eight billion, five hundred eighty-five million, six hundred forty-eight thousand, seventy-six".