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67340739960 = 23345134337181
BaseRepresentation
bin111110101101110100…
…100010010101111000
320102211002111000220000
4332231310202111320
52100403212134320
650534053433000
74602523562634
oct765564422570
9212732430800
1067340739960
11266171016aa
121107433b760
1364725264c0
14338b789dc4
151b41e26c90
hexfadd22578

67340739960 has 320 divisors, whose sum is σ = 249425779680. Its totient is φ = 16190254080.

The previous prime is 67340739959. The next prime is 67340739967. The reversal of 67340739960 is 6993704376.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 67340739897 and 67340739906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67340739967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1792570 + ... + 1829750.

Almost surely, 267340739960 is an apocalyptic number.

67340739960 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 67340739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124712889840).

67340739960 is an abundant number, since it is smaller than the sum of its proper divisors (182085039720).

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

67340739960 is a wasteful number, since it uses less digits than its factorization.

67340739960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37260 (or 37247 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 67340739960 in words is "sixty-seven billion, three hundred forty million, seven hundred thirty-nine thousand, nine hundred sixty".