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67114428840 = 233251916695879
BaseRepresentation
bin111110100000010101…
…001110100110101000
320102020022122020101200
4332200111032212220
52044422243210330
650455411044200
74564105142514
oct764025164650
9212208566350
1067114428840
1126510388818
12110105a0660
1364376892b4
1433696b9144
151b2c121a60
hexfa054e9a8

67114428840 has 192 divisors, whose sum is σ = 229778640000. Its totient is φ = 16942182912.

The previous prime is 67114428833. The next prime is 67114428841. The reversal of 67114428840 is 4882441176.

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

It is not an unprimeable number, because it can be changed into a prime (67114428841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11413021 + ... + 11418899.

It is an arithmetic number, because the mean of its divisors is an integer number (1196763750).

Almost surely, 267114428840 is an apocalyptic number.

67114428840 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 67114428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114889320000).

67114428840 is an abundant number, since it is smaller than the sum of its proper divisors (162664211160).

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

67114428840 is a wasteful number, since it uses less digits than its factorization.

67114428840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 67114428840 in words is "sixty-seven billion, one hundred fourteen million, four hundred twenty-eight thousand, eight hundred forty".