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67530693384 = 23387311231
BaseRepresentation
bin111110111001001001…
…001001101100001000
320110022022220200000000
4332321021021230020
52101300324142014
651005001043000
74610321265000
oct767111115410
9213268820000
1067530693384
1126704352500
1211107a86460
1364a29a398b
1433a8ab5000
151b53949509
hexfb9249b08

67530693384 has 864 divisors, whose sum is σ = 251299776000. Its totient is φ = 16974619200.

The previous prime is 67530693341. The next prime is 67530693389. The reversal of 67530693384 is 48339603576.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67530693384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67530693389) 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 215 ways as a sum of consecutive naturals, for example, 2178409449 + ... + 2178409479.

Almost surely, 267530693384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67530693384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125649888000).

67530693384 is an abundant number, since it is smaller than the sum of its proper divisors (183769082616).

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

67530693384 is an equidigital number, since it uses as much as digits as its factorization.

67530693384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 67530693384 in words is "sixty-seven billion, five hundred thirty million, six hundred ninety-three thousand, three hundred eighty-four".