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67480444080 = 243257219100669
BaseRepresentation
bin111110110110001001…
…011101110010110000
320110011211100201220200
4332312021131302300
52101144443202310
651000004035200
74606141211400
oct766611356260
9213154321820
1067480444080
1126688a51455
12110b3092b00
13649545bc6a
1433a2154800
151b4e3209c0
hexfb625dcb0

67480444080 has 360 divisors, whose sum is σ = 277498868400. Its totient is φ = 14612161536.

The previous prime is 67480444051. The next prime is 67480444111. The reversal of 67480444080 is 8044408476.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×674804440802 (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 619986 + ... + 720654.

It is an arithmetic number, because the mean of its divisors is an integer number (770830190).

Almost surely, 267480444080 is an apocalyptic number.

67480444080 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 67480444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138749434200).

67480444080 is an abundant number, since it is smaller than the sum of its proper divisors (210018424320).

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

67480444080 is a wasteful number, since it uses less digits than its factorization.

67480444080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100721 (or 100705 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 67480444080 in words is "sixty-seven billion, four hundred eighty million, four hundred forty-four thousand, eighty".