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67066940160 = 28325112323011
BaseRepresentation
bin111110011101100000…
…000100101100000000
320102010000021120011200
4332131200010230000
52044323114041120
650450553141200
74562660404533
oct763540045400
9212100246150
1067066940160
11264965a2880
1210bb86ba800
13642a89cc9c
143363276a1a
151b27d90e90
hexf9d804b00

67066940160 has 432 divisors, whose sum is σ = 264157141248. Its totient is φ = 15551078400.

The previous prime is 67066940093. The next prime is 67066940203. The reversal of 67066940160 is 6104966076.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903055 + ... + 2926065.

It is an arithmetic number, because the mean of its divisors is an integer number (611474864).

Almost surely, 267066940160 is an apocalyptic number.

67066940160 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 67066940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132078570624).

67066940160 is an abundant number, since it is smaller than the sum of its proper divisors (197090201088).

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

67066940160 is a wasteful number, since it uses less digits than its factorization.

67066940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23072 (or 23055 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 67066940160 in words is "sixty-seven billion, sixty-six million, nine hundred forty thousand, one hundred sixty".