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68357119860 = 2236510943013
BaseRepresentation
bin111111101010011001…
…101101111101110100
320112102220222111000000
4333222121231331310
52104443410313420
651223002151300
74636644634431
oct775231557564
9215386874000
1068357119860
1126a988a2997
12112b87b2530
1365a4c7a123
14344675cb88
151ba1291690
hexfea66df74

68357119860 has 168 divisors, whose sum is σ = 217206075240. Its totient is φ = 18060910848.

The previous prime is 68357119849. The next prime is 68357119871. The reversal of 68357119860 is 6891175386.

68357119860 is a `hidden beast` number, since 6 + 8 + 3 + 571 + 1 + 9 + 8 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (68357119849) and next prime (68357119871).

It can be written as a sum of positive squares in 4 ways, for example, as 20975149584 + 47381970276 = 144828^2 + 217674^2 .

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 = 68357119797 and 68357119806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1567714 + ... + 1610726.

It is an arithmetic number, because the mean of its divisors is an integer number (1292893305).

Almost surely, 268357119860 is an apocalyptic number.

68357119860 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 68357119860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108603037620).

68357119860 is an abundant number, since it is smaller than the sum of its proper divisors (148848955380).

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

68357119860 is a wasteful number, since it uses less digits than its factorization.

68357119860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43149 (or 43132 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 68357119860 in words is "sixty-eight billion, three hundred fifty-seven million, one hundred nineteen thousand, eight hundred sixty".