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66443652000 = 25345311103181
BaseRepresentation
bin111101111000010110…
…011010101110100000
320100111120110020120000
4331320112122232200
52042034033331000
650305050020000
74541351503065
oct757026325640
9210446406500
1066443652000
11261a67891a0
1210a63a17600
13635b70c41b
14330458ac6c
151add2c3000
hexf7859aba0

66443652000 has 960 divisors, whose sum is σ = 270107405568. Its totient is φ = 15863040000.

The previous prime is 66443651951. The next prime is 66443652029. The reversal of 66443652000 is 25634466.

66443652000 is a `hidden beast` number, since 6 + 6 + 443 + 6 + 5 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 367091910 + ... + 367092090.

Almost surely, 266443652000 is an apocalyptic number.

66443652000 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 66443652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135053702784).

66443652000 is an abundant number, since it is smaller than the sum of its proper divisors (203663753568).

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

66443652000 is a wasteful number, since it uses less digits than its factorization.

66443652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 66443652000 in words is "sixty-six billion, four hundred forty-three million, six hundred fifty-two thousand".