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68386775040 = 21333561837
BaseRepresentation
bin111111101100001010…
…110110000000000000
320112111222210010021000
4333230022312000000
52110024003300130
651225541532000
74640454665613
oct775412660000
9215458703230
1068386775040
1127003608301
1211306714000
1365ab16117c
14344a67c17a
151ba3b9d260
hexfec2b6000

68386775040 has 224 divisors, whose sum is σ = 243142068960. Its totient is φ = 18236178432.

The previous prime is 68386774997. The next prime is 68386775047. The reversal of 68386775040 is 4057768386.

68386775040 is a `hidden beast` number, since 68 + 3 + 8 + 6 + 77 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68386775047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075002 + ... + 1136838.

It is an arithmetic number, because the mean of its divisors is an integer number (1085455665).

Almost surely, 268386775040 is an apocalyptic number.

68386775040 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 68386775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121571034480).

68386775040 is an abundant number, since it is smaller than the sum of its proper divisors (174755293920).

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

68386775040 is an equidigital number, since it uses as much as digits as its factorization.

68386775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61877 (or 61847 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 68386775040 in words is "sixty-eight billion, three hundred eighty-six million, seven hundred seventy-five thousand, forty".