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67805234640 = 24325112131923137
BaseRepresentation
bin111111001001100000…
…011100010111010000
320111000110111210210200
4333021200130113100
52102331120002030
651052125255200
74620163661553
oct771140342720
9214013453720
1067805234640
1126835318400
1211183a04500
136517829820
1433d333c69a
151b6cac9d60
hexfc981c5d0

67805234640 has 1440 divisors, whose sum is σ = 298233411840. Its totient is φ = 13649264640.

The previous prime is 67805234593. The next prime is 67805234669. The reversal of 67805234640 is 4643250876.

67805234640 is a `hidden beast` number, since 6 + 7 + 80 + 523 + 4 + 6 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 494928652 + ... + 494928788.

It is an arithmetic number, because the mean of its divisors is an integer number (207106536).

Almost surely, 267805234640 is an apocalyptic number.

67805234640 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 67805234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149116705920).

67805234640 is an abundant number, since it is smaller than the sum of its proper divisors (230428177200).

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

67805234640 is a wasteful number, since it uses less digits than its factorization.

67805234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 67805234640 in words is "sixty-seven billion, eight hundred five million, two hundred thirty-four thousand, six hundred forty".