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66028600560 = 243513236011531
BaseRepresentation
bin111101011111100111…
…000111110011110000
320022102122110110000110
4331133213013303300
52040211310204220
650155542021320
74525151562426
oct753747076360
9208378413013
1066028600560
112600347297a
1210968a17840
1362c372ac60
1432a53c9116
151ab6b39be0
hexf5f9c7cf0

66028600560 has 320 divisors, whose sum is σ = 230551243776. Its totient is φ = 15510528000.

The previous prime is 66028600543. The next prime is 66028600619. The reversal of 66028600560 is 6500682066.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43126995 + ... + 43128525.

Almost surely, 266028600560 is an apocalyptic number.

66028600560 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 66028600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115275621888).

66028600560 is an abundant number, since it is smaller than the sum of its proper divisors (164522643216).

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

66028600560 is a wasteful number, since it uses less digits than its factorization.

66028600560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 66028600560 in words is "sixty-six billion, twenty-eight million, six hundred thousand, five hundred sixty".