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66263484000 = 253537317947
BaseRepresentation
bin111101101101100111…
…001000011001100000
320100001000102202112010
4331231213020121200
52041201422442000
650235132232520
74534033215000
oct755547103140
9210030382463
1066263484000
112611401131a
1210a1360b740
1363302a9c3c
1432c868c000
151acc584d50
hexf6d9c8660

66263484000 has 768 divisors, whose sum is σ = 268327987200. Its totient is φ = 14239948800.

The previous prime is 66263483977. The next prime is 66263484019. The reversal of 66263484000 is 48436266.

66263484000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66263484000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69971527 + ... + 69972473.

It is an arithmetic number, because the mean of its divisors is an integer number (349385400).

Almost surely, 266263484000 is an apocalyptic number.

66263484000 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 66263484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134163993600).

66263484000 is an abundant number, since it is smaller than the sum of its proper divisors (202064503200).

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

66263484000 is a wasteful number, since it uses less digits than its factorization.

66263484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 66263484000 in words is "sixty-six billion, two hundred sixty-three million, four hundred eighty-four thousand".